8(x+1)=5-2(8x+16)

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Solution for 8(x+1)=5-2(8x+16) equation: 


Simplifying
8(x + 1) = 5 + -2(8x + 16)

Reorder the terms:
8(1 + x) = 5 + -2(8x + 16)
(1 * 8 + x * 8) = 5 + -2(8x + 16)
(8 + 8x) = 5 + -2(8x + 16)

Reorder the terms:
8 + 8x = 5 + -2(16 + 8x)
8 + 8x = 5 + (16 * -2 + 8x * -2)
8 + 8x = 5 + (-32 + -16x)

Combine like terms: 5 + -32 = -27
8 + 8x = -27 + -16x

Solving
8 + 8x = -27 + -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.
8 + 8x + 16x = -27 + -16x + 16x

Combine like terms: 8x + 16x = 24x
8 + 24x = -27 + -16x + 16x

Combine like terms: -16x + 16x = 0
8 + 24x = -27 + 0
8 + 24x = -27

Add '-8' to each side of the equation.
8 + -8 + 24x = -27 + -8

Combine like terms: 8 + -8 = 0
0 + 24x = -27 + -8
24x = -27 + -8

Combine like terms: -27 + -8 = -35
24x = -35

Divide each side by '24'.
x = -1.458333333

Simplifying
x = -1.458333333

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