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

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


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

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

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

Combine like terms: 2 + 4 = 6
6 + 2x + -3x = 8x + -5(x + 1)

Combine like terms: 2x + -3x = -1x
6 + -1x = 8x + -5(x + 1)

Reorder the terms:
6 + -1x = 8x + -5(1 + x)
6 + -1x = 8x + (1 * -5 + x * -5)
6 + -1x = 8x + (-5 + -5x)

Reorder the terms:
6 + -1x = -5 + 8x + -5x

Combine like terms: 8x + -5x = 3x
6 + -1x = -5 + 3x

Solving
6 + -1x = -5 + 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.
6 + -1x + -3x = -5 + 3x + -3x

Combine like terms: -1x + -3x = -4x
6 + -4x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -4x = -5 + 0
6 + -4x = -5

Add '-6' to each side of the equation.
6 + -6 + -4x = -5 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = -5 + -6
-4x = -5 + -6

Combine like terms: -5 + -6 = -11
-4x = -11

Divide each side by '-4'.
x = 2.75

Simplifying
x = 2.75

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