x-2(x-8)=3(x+1)+8

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Solution for x-2(x-8)=3(x+1)+8 equation: 


Simplifying
x + -2(x + -8) = 3(x + 1) + 8

Reorder the terms:
x + -2(-8 + x) = 3(x + 1) + 8
x + (-8 * -2 + x * -2) = 3(x + 1) + 8
x + (16 + -2x) = 3(x + 1) + 8

Reorder the terms:
16 + x + -2x = 3(x + 1) + 8

Combine like terms: x + -2x = -1x
16 + -1x = 3(x + 1) + 8

Reorder the terms:
16 + -1x = 3(1 + x) + 8
16 + -1x = (1 * 3 + x * 3) + 8
16 + -1x = (3 + 3x) + 8

Reorder the terms:
16 + -1x = 3 + 8 + 3x

Combine like terms: 3 + 8 = 11
16 + -1x = 11 + 3x

Solving
16 + -1x = 11 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
16 + -1x + -3x = 11 + 3x + -3x

Combine like terms: -1x + -3x = -4x
16 + -4x = 11 + 3x + -3x

Combine like terms: 3x + -3x = 0
16 + -4x = 11 + 0
16 + -4x = 11

Add '-16' to each side of the equation.
16 + -16 + -4x = 11 + -16

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

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

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25

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