5(x-6)=40-5x

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Solution for 5(x-6)=40-5x equation:


Simplifying
5(x + -6) = 40 + -5x

Reorder the terms:
5(-6 + x) = 40 + -5x
(-6 * 5 + x * 5) = 40 + -5x
(-30 + 5x) = 40 + -5x

Solving
-30 + 5x = 40 + -5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5x' to each side of the equation.
-30 + 5x + 5x = 40 + -5x + 5x

Combine like terms: 5x + 5x = 10x
-30 + 10x = 40 + -5x + 5x

Combine like terms: -5x + 5x = 0
-30 + 10x = 40 + 0
-30 + 10x = 40

Add '30' to each side of the equation.
-30 + 30 + 10x = 40 + 30

Combine like terms: -30 + 30 = 0
0 + 10x = 40 + 30
10x = 40 + 30

Combine like terms: 40 + 30 = 70
10x = 70

Divide each side by '10'.
x = 7

Simplifying
x = 7

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