5x-2(x+1)+15=8(x+1)-5(2x-1)

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Solution for 5x-2(x+1)+15=8(x+1)-5(2x-1) equation:


Simplifying
5x + -2(x + 1) + 15 = 8(x + 1) + -5(2x + -1)

Reorder the terms:
5x + -2(1 + x) + 15 = 8(x + 1) + -5(2x + -1)
5x + (1 * -2 + x * -2) + 15 = 8(x + 1) + -5(2x + -1)
5x + (-2 + -2x) + 15 = 8(x + 1) + -5(2x + -1)

Reorder the terms:
-2 + 15 + 5x + -2x = 8(x + 1) + -5(2x + -1)

Combine like terms: -2 + 15 = 13
13 + 5x + -2x = 8(x + 1) + -5(2x + -1)

Combine like terms: 5x + -2x = 3x
13 + 3x = 8(x + 1) + -5(2x + -1)

Reorder the terms:
13 + 3x = 8(1 + x) + -5(2x + -1)
13 + 3x = (1 * 8 + x * 8) + -5(2x + -1)
13 + 3x = (8 + 8x) + -5(2x + -1)

Reorder the terms:
13 + 3x = 8 + 8x + -5(-1 + 2x)
13 + 3x = 8 + 8x + (-1 * -5 + 2x * -5)
13 + 3x = 8 + 8x + (5 + -10x)

Reorder the terms:
13 + 3x = 8 + 5 + 8x + -10x

Combine like terms: 8 + 5 = 13
13 + 3x = 13 + 8x + -10x

Combine like terms: 8x + -10x = -2x
13 + 3x = 13 + -2x

Add '-13' to each side of the equation.
13 + -13 + 3x = 13 + -13 + -2x

Combine like terms: 13 + -13 = 0
0 + 3x = 13 + -13 + -2x
3x = 13 + -13 + -2x

Combine like terms: 13 + -13 = 0
3x = 0 + -2x
3x = -2x

Solving
3x = -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.
3x + 2x = -2x + 2x

Combine like terms: 3x + 2x = 5x
5x = -2x + 2x

Combine like terms: -2x + 2x = 0
5x = 0

Divide each side by '5'.
x = 0

Simplifying
x = 0

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