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

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


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

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

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

Combine like terms: 8 + -1 = 7
7 + 8x = 3x + -4(2 + -2x)
7 + 8x = 3x + (2 * -4 + -2x * -4)
7 + 8x = 3x + (-8 + 8x)

Reorder the terms:
7 + 8x = -8 + 3x + 8x

Combine like terms: 3x + 8x = 11x
7 + 8x = -8 + 11x

Solving
7 + 8x = -8 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
7 + 8x + -11x = -8 + 11x + -11x

Combine like terms: 8x + -11x = -3x
7 + -3x = -8 + 11x + -11x

Combine like terms: 11x + -11x = 0
7 + -3x = -8 + 0
7 + -3x = -8

Add '-7' to each side of the equation.
7 + -7 + -3x = -8 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = -8 + -7
-3x = -8 + -7

Combine like terms: -8 + -7 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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