How do you solve an equation with brackets?

To solve an equation with brackets, you need to use the distributive property, which states that a multiplied by (b + c) is equal to ab + ac. The steps for solving an equation with brackets are as follows:

  1. Use the distributive property to expand the brackets, simplifying the expression inside the brackets as much as possible.
  2. Combine like terms on both sides of the equation.
  3. Move all variables to one side of the equation and all constants to the other side.
  4. Simplify the equation further by dividing or multiplying both sides by a common factor, if necessary.
  5. Check your solution by substituting the value you found back into the original equation.

Here is an example of how to solve an equation with brackets:

Solve for x: 3(x + 2) – 5 = 16

  1. Expand the brackets using the distributive property: 3x + 6 – 5 = 16.
  2. Combine like terms: 3x + 1 = 16.
  3. Move constants to one side and variables to the other: 3x = 15.
  4. Simplify by dividing both sides by 3: x = 5.
  5. Check the solution by substituting x = 5 back into the original equation: 3(5 + 2) – 5 = 16, which simplifies to 16 = 16. Therefore, the solution is correct.
How do you solve an equation with brackets?

To solve an equation with brackets, you need to first simplify the brackets using the order of operations (PEMDAS), then solve the equation as usual.

What is the order of operations?

The order of operations is a set of rules that tells you the order in which you should perform mathematical operations. The acronym PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

How do you simplify brackets in an equation?

To simplify brackets, you need to perform the operations inside the brackets first, then work on the operations outside the brackets. For example, if you have (3 + 2) x 4, you would first simplify 3 + 2 to get 5, then multiply 5 by 4 to get 20.

What if there are nested brackets in the equation?

If there are nested brackets in the equation, you should simplify the innermost brackets first, then work your way outwards.

Can you give an example of solving an equation with brackets?

Sure, let’s say you have the equation 2(x + 3) = 16. To solve it, you would first simplify the brackets by multiplying 2 by x and 2 by 3 to get 2x + 6. Then you would have the equation 2x + 6 = 16. Finally, you can solve for x by subtracting 6 from both sides and dividing by 2 to get x = 5.

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