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

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


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

Reorder the terms:
7 + -5(7 + x) = -5x + 2(x + -6)
7 + (7 * -5 + x * -5) = -5x + 2(x + -6)
7 + (-35 + -5x) = -5x + 2(x + -6)

Combine like terms: 7 + -35 = -28
-28 + -5x = -5x + 2(x + -6)

Reorder the terms:
-28 + -5x = -5x + 2(-6 + x)
-28 + -5x = -5x + (-6 * 2 + x * 2)
-28 + -5x = -5x + (-12 + 2x)

Reorder the terms:
-28 + -5x = -12 + -5x + 2x

Combine like terms: -5x + 2x = -3x
-28 + -5x = -12 + -3x

Solving
-28 + -5x = -12 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-28 + -5x + 3x = -12 + -3x + 3x

Combine like terms: -5x + 3x = -2x
-28 + -2x = -12 + -3x + 3x

Combine like terms: -3x + 3x = 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 = 16
-2x = 16

Divide each side by '-2'.
x = -8

Simplifying
x = -8

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