X+2(x+1)-5(2x-3)=8x-13

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Solution for X+2(x+1)-5(2x-3)=8x-13 equation:


Simplifying
X + 2(x + 1) + -5(2x + -3) = 8x + -13

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

Reorder the terms:
X + 2 + 2x + -5(-3 + 2x) = 8x + -13
X + 2 + 2x + (-3 * -5 + 2x * -5) = 8x + -13
X + 2 + 2x + (15 + -10x) = 8x + -13

Reorder the terms:
2 + 15 + X + 2x + -10x = 8x + -13

Combine like terms: 2 + 15 = 17
17 + X + 2x + -10x = 8x + -13

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

Reorder the terms:
17 + X + -8x = -13 + 8x

Solving
17 + X + -8x = -13 + 8x

Solving for variable 'X'.

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

Add '-17' to each side of the equation.
17 + X + -17 + -8x = -13 + -17 + 8x

Reorder the terms:
17 + -17 + X + -8x = -13 + -17 + 8x

Combine like terms: 17 + -17 = 0
0 + X + -8x = -13 + -17 + 8x
X + -8x = -13 + -17 + 8x

Combine like terms: -13 + -17 = -30
X + -8x = -30 + 8x

Add '8x' to each side of the equation.
X + -8x + 8x = -30 + 8x + 8x

Combine like terms: -8x + 8x = 0
X + 0 = -30 + 8x + 8x
X = -30 + 8x + 8x

Combine like terms: 8x + 8x = 16x
X = -30 + 16x

Simplifying
X = -30 + 16x

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