-6(x-2)=x+40

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Solution for -6(x-2)=x+40 equation:


Simplifying
-6(x + -2) = x + 40

Reorder the terms:
-6(-2 + x) = x + 40
(-2 * -6 + x * -6) = x + 40
(12 + -6x) = x + 40

Reorder the terms:
12 + -6x = 40 + x

Solving
12 + -6x = 40 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
12 + -6x + -1x = 40 + x + -1x

Combine like terms: -6x + -1x = -7x
12 + -7x = 40 + x + -1x

Combine like terms: x + -1x = 0
12 + -7x = 40 + 0
12 + -7x = 40

Add '-12' to each side of the equation.
12 + -12 + -7x = 40 + -12

Combine like terms: 12 + -12 = 0
0 + -7x = 40 + -12
-7x = 40 + -12

Combine like terms: 40 + -12 = 28
-7x = 28

Divide each side by '-7'.
x = -4

Simplifying
x = -4

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