7x-5=-4(x+2)-8

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Solution for 7x-5=-4(x+2)-8 equation:


Simplifying
7x + -5 = -4(x + 2) + -8

Reorder the terms:
-5 + 7x = -4(x + 2) + -8

Reorder the terms:
-5 + 7x = -4(2 + x) + -8
-5 + 7x = (2 * -4 + x * -4) + -8
-5 + 7x = (-8 + -4x) + -8

Reorder the terms:
-5 + 7x = -8 + -8 + -4x

Combine like terms: -8 + -8 = -16
-5 + 7x = -16 + -4x

Solving
-5 + 7x = -16 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-5 + 7x + 4x = -16 + -4x + 4x

Combine like terms: 7x + 4x = 11x
-5 + 11x = -16 + -4x + 4x

Combine like terms: -4x + 4x = 0
-5 + 11x = -16 + 0
-5 + 11x = -16

Add '5' to each side of the equation.
-5 + 5 + 11x = -16 + 5

Combine like terms: -5 + 5 = 0
0 + 11x = -16 + 5
11x = -16 + 5

Combine like terms: -16 + 5 = -11
11x = -11

Divide each side by '11'.
x = -1

Simplifying
x = -1

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