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

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


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

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

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

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

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

Reorder the terms:
8 + -3x = 2 + 2x + -3(-1 + 5x) + 13
8 + -3x = 2 + 2x + (-1 * -3 + 5x * -3) + 13
8 + -3x = 2 + 2x + (3 + -15x) + 13

Reorder the terms:
8 + -3x = 2 + 3 + 13 + 2x + -15x

Combine like terms: 2 + 3 = 5
8 + -3x = 5 + 13 + 2x + -15x

Combine like terms: 5 + 13 = 18
8 + -3x = 18 + 2x + -15x

Combine like terms: 2x + -15x = -13x
8 + -3x = 18 + -13x

Solving
8 + -3x = 18 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
8 + -3x + 13x = 18 + -13x + 13x

Combine like terms: -3x + 13x = 10x
8 + 10x = 18 + -13x + 13x

Combine like terms: -13x + 13x = 0
8 + 10x = 18 + 0
8 + 10x = 18

Add '-8' to each side of the equation.
8 + -8 + 10x = 18 + -8

Combine like terms: 8 + -8 = 0
0 + 10x = 18 + -8
10x = 18 + -8

Combine like terms: 18 + -8 = 10
10x = 10

Divide each side by '10'.
x = 1

Simplifying
x = 1

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