5(x-6)+6=7(x+2)-10

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Solution for 5(x-6)+6=7(x+2)-10 equation: 


Simplifying
5(x + -6) + 6 = 7(x + 2) + -10

Reorder the terms:
5(-6 + x) + 6 = 7(x + 2) + -10
(-6 * 5 + x * 5) + 6 = 7(x + 2) + -10
(-30 + 5x) + 6 = 7(x + 2) + -10

Reorder the terms:
-30 + 6 + 5x = 7(x + 2) + -10

Combine like terms: -30 + 6 = -24
-24 + 5x = 7(x + 2) + -10

Reorder the terms:
-24 + 5x = 7(2 + x) + -10
-24 + 5x = (2 * 7 + x * 7) + -10
-24 + 5x = (14 + 7x) + -10

Reorder the terms:
-24 + 5x = 14 + -10 + 7x

Combine like terms: 14 + -10 = 4
-24 + 5x = 4 + 7x

Solving
-24 + 5x = 4 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-24 + 5x + -7x = 4 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-24 + -2x = 4 + 7x + -7x

Combine like terms: 7x + -7x = 0
-24 + -2x = 4 + 0
-24 + -2x = 4

Add '24' to each side of the equation.
-24 + 24 + -2x = 4 + 24

Combine like terms: -24 + 24 = 0
0 + -2x = 4 + 24
-2x = 4 + 24

Combine like terms: 4 + 24 = 28
-2x = 28

Divide each side by '-2'.
x = -14

Simplifying
x = -14

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