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

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


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

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

Reorder the terms:
5 + 8x = -8(6 + -2x) + -7
5 + 8x = (6 * -8 + -2x * -8) + -7
5 + 8x = (-48 + 16x) + -7

Reorder the terms:
5 + 8x = -48 + -7 + 16x

Combine like terms: -48 + -7 = -55
5 + 8x = -55 + 16x

Solving
5 + 8x = -55 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
5 + 8x + -16x = -55 + 16x + -16x

Combine like terms: 8x + -16x = -8x
5 + -8x = -55 + 16x + -16x

Combine like terms: 16x + -16x = 0
5 + -8x = -55 + 0
5 + -8x = -55

Add '-5' to each side of the equation.
5 + -5 + -8x = -55 + -5

Combine like terms: 5 + -5 = 0
0 + -8x = -55 + -5
-8x = -55 + -5

Combine like terms: -55 + -5 = -60
-8x = -60

Divide each side by '-8'.
x = 7.5

Simplifying
x = 7.5

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