5(x-6)+8=7(x+2)-100

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Solution for 5(x-6)+8=7(x+2)-100 equation:


Simplifying
5(x + -6) + 8 = 7(x + 2) + -100

Reorder the terms:
5(-6 + x) + 8 = 7(x + 2) + -100
(-6 * 5 + x * 5) + 8 = 7(x + 2) + -100
(-30 + 5x) + 8 = 7(x + 2) + -100

Reorder the terms:
-30 + 8 + 5x = 7(x + 2) + -100

Combine like terms: -30 + 8 = -22
-22 + 5x = 7(x + 2) + -100

Reorder the terms:
-22 + 5x = 7(2 + x) + -100
-22 + 5x = (2 * 7 + x * 7) + -100
-22 + 5x = (14 + 7x) + -100

Reorder the terms:
-22 + 5x = 14 + -100 + 7x

Combine like terms: 14 + -100 = -86
-22 + 5x = -86 + 7x

Solving
-22 + 5x = -86 + 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.
-22 + 5x + -7x = -86 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-22 + -2x = -86 + 7x + -7x

Combine like terms: 7x + -7x = 0
-22 + -2x = -86 + 0
-22 + -2x = -86

Add '22' to each side of the equation.
-22 + 22 + -2x = -86 + 22

Combine like terms: -22 + 22 = 0
0 + -2x = -86 + 22
-2x = -86 + 22

Combine like terms: -86 + 22 = -64
-2x = -64

Divide each side by '-2'.
x = 32

Simplifying
x = 32

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