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

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


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

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

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

Combine like terms: -30 + 2 = -28
-28 + 5x = 2 + 7(x + 2) + -4

Reorder the terms:
-28 + 5x = 2 + 7(2 + x) + -4
-28 + 5x = 2 + (2 * 7 + x * 7) + -4
-28 + 5x = 2 + (14 + 7x) + -4

Reorder the terms:
-28 + 5x = 2 + 14 + -4 + 7x

Combine like terms: 2 + 14 = 16
-28 + 5x = 16 + -4 + 7x

Combine like terms: 16 + -4 = 12
-28 + 5x = 12 + 7x

Solving
-28 + 5x = 12 + 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.
-28 + 5x + -7x = 12 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-28 + -2x = 12 + 7x + -7x

Combine like terms: 7x + -7x = 0
-28 + -2x = 12 + 0
-28 + -2x = 12

Add '28' to each side of the equation.
-28 + 28 + -2x = 12 + 28

Combine like terms: -28 + 28 = 0
0 + -2x = 12 + 28
-2x = 12 + 28

Combine like terms: 12 + 28 = 40
-2x = 40

Divide each side by '-2'.
x = -20

Simplifying
x = -20

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