8(x+7)-4=-8(x-1)

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Solution for 8(x+7)-4=-8(x-1) equation:


Simplifying
8(x + 7) + -4 = -8(x + -1)

Reorder the terms:
8(7 + x) + -4 = -8(x + -1)
(7 * 8 + x * 8) + -4 = -8(x + -1)
(56 + 8x) + -4 = -8(x + -1)

Reorder the terms:
56 + -4 + 8x = -8(x + -1)

Combine like terms: 56 + -4 = 52
52 + 8x = -8(x + -1)

Reorder the terms:
52 + 8x = -8(-1 + x)
52 + 8x = (-1 * -8 + x * -8)
52 + 8x = (8 + -8x)

Solving
52 + 8x = 8 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
52 + 8x + 8x = 8 + -8x + 8x

Combine like terms: 8x + 8x = 16x
52 + 16x = 8 + -8x + 8x

Combine like terms: -8x + 8x = 0
52 + 16x = 8 + 0
52 + 16x = 8

Add '-52' to each side of the equation.
52 + -52 + 16x = 8 + -52

Combine like terms: 52 + -52 = 0
0 + 16x = 8 + -52
16x = 8 + -52

Combine like terms: 8 + -52 = -44
16x = -44

Divide each side by '16'.
x = -2.75

Simplifying
x = -2.75

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