3-(4x-8)=-2(x+1)-5

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Solution for 3-(4x-8)=-2(x+1)-5 equation: 


Simplifying
3 + -1(4x + -8) = -2(x + 1) + -5

Reorder the terms:
3 + -1(-8 + 4x) = -2(x + 1) + -5
3 + (-8 * -1 + 4x * -1) = -2(x + 1) + -5
3 + (8 + -4x) = -2(x + 1) + -5

Combine like terms: 3 + 8 = 11
11 + -4x = -2(x + 1) + -5

Reorder the terms:
11 + -4x = -2(1 + x) + -5
11 + -4x = (1 * -2 + x * -2) + -5
11 + -4x = (-2 + -2x) + -5

Reorder the terms:
11 + -4x = -2 + -5 + -2x

Combine like terms: -2 + -5 = -7
11 + -4x = -7 + -2x

Solving
11 + -4x = -7 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
11 + -4x + 2x = -7 + -2x + 2x

Combine like terms: -4x + 2x = -2x
11 + -2x = -7 + -2x + 2x

Combine like terms: -2x + 2x = 0
11 + -2x = -7 + 0
11 + -2x = -7

Add '-11' to each side of the equation.
11 + -11 + -2x = -7 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = -7 + -11
-2x = -7 + -11

Combine like terms: -7 + -11 = -18
-2x = -18

Divide each side by '-2'.
x = 9

Simplifying
x = 9

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