5(x-6)+4=7(x+2)+12

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Solution for 5(x-6)+4=7(x+2)+12 equation: 


Simplifying
5(x + -6) + 4 = 7(x + 2) + 12

Reorder the terms:
5(-6 + x) + 4 = 7(x + 2) + 12
(-6 * 5 + x * 5) + 4 = 7(x + 2) + 12
(-30 + 5x) + 4 = 7(x + 2) + 12

Reorder the terms:
-30 + 4 + 5x = 7(x + 2) + 12

Combine like terms: -30 + 4 = -26
-26 + 5x = 7(x + 2) + 12

Reorder the terms:
-26 + 5x = 7(2 + x) + 12
-26 + 5x = (2 * 7 + x * 7) + 12
-26 + 5x = (14 + 7x) + 12

Reorder the terms:
-26 + 5x = 14 + 12 + 7x

Combine like terms: 14 + 12 = 26
-26 + 5x = 26 + 7x

Solving
-26 + 5x = 26 + 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.
-26 + 5x + -7x = 26 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-26 + -2x = 26 + 7x + -7x

Combine like terms: 7x + -7x = 0
-26 + -2x = 26 + 0
-26 + -2x = 26

Add '26' to each side of the equation.
-26 + 26 + -2x = 26 + 26

Combine like terms: -26 + 26 = 0
0 + -2x = 26 + 26
-2x = 26 + 26

Combine like terms: 26 + 26 = 52
-2x = 52

Divide each side by '-2'.
x = -26

Simplifying
x = -26

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