How would I go about solving 3(x-2) = x+7?

First of all, you want to try and get rid of the brackets so the equation is easier to simplify in the next steps. So you multiply the whole bracket by 3. So it is 3x-6 = x+7. Secondly, in order to solve the equation for x, you need all the x values on the same side of the equation, therefore you must subtract the smaller value of x, in this case its the x on its own. This subtraction must be done to BOTH sides of the equation. So: 2x-6=7. Then, to form an answer you must have all the x's on one side and all the numbers on the other in order to have a value equal to x. In order to do this you must cancel out the -6 by adding 6 to BOTH sides of the equation. This leaves you with 2x=13. Then, as you were asked to solve the equation, you must have an x value with a coefficient of one, therefore the whole equation must be divided by two. So then you have an answer of x=6.5.

Answered by Finn A. Maths tutor

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