8(x+3)+2=-8(x-4)-7

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Solution for 8(x+3)+2=-8(x-4)-7 equation: 


Simplifying
8(x + 3) + 2 = -8(x + -4) + -7

Reorder the terms:
8(3 + x) + 2 = -8(x + -4) + -7
(3 * 8 + x * 8) + 2 = -8(x + -4) + -7
(24 + 8x) + 2 = -8(x + -4) + -7

Reorder the terms:
24 + 2 + 8x = -8(x + -4) + -7

Combine like terms: 24 + 2 = 26
26 + 8x = -8(x + -4) + -7

Reorder the terms:
26 + 8x = -8(-4 + x) + -7
26 + 8x = (-4 * -8 + x * -8) + -7
26 + 8x = (32 + -8x) + -7

Reorder the terms:
26 + 8x = 32 + -7 + -8x

Combine like terms: 32 + -7 = 25
26 + 8x = 25 + -8x

Solving
26 + 8x = 25 + -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.
26 + 8x + 8x = 25 + -8x + 8x

Combine like terms: 8x + 8x = 16x
26 + 16x = 25 + -8x + 8x

Combine like terms: -8x + 8x = 0
26 + 16x = 25 + 0
26 + 16x = 25

Add '-26' to each side of the equation.
26 + -26 + 16x = 25 + -26

Combine like terms: 26 + -26 = 0
0 + 16x = 25 + -26
16x = 25 + -26

Combine like terms: 25 + -26 = -1
16x = -1

Divide each side by '16'.
x = -0.0625

Simplifying
x = -0.0625

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