-5(3x-1)+5x-4(2x-3)-13x=-10x+6(2-x)+1

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Solution for -5(3x-1)+5x-4(2x-3)-13x=-10x+6(2-x)+1 equation: 


Simplifying
-5(3x + -1) + 5x + -4(2x + -3) + -13x = -10x + 6(2 + -1x) + 1

Reorder the terms:
-5(-1 + 3x) + 5x + -4(2x + -3) + -13x = -10x + 6(2 + -1x) + 1
(-1 * -5 + 3x * -5) + 5x + -4(2x + -3) + -13x = -10x + 6(2 + -1x) + 1
(5 + -15x) + 5x + -4(2x + -3) + -13x = -10x + 6(2 + -1x) + 1

Reorder the terms:
5 + -15x + 5x + -4(-3 + 2x) + -13x = -10x + 6(2 + -1x) + 1
5 + -15x + 5x + (-3 * -4 + 2x * -4) + -13x = -10x + 6(2 + -1x) + 1
5 + -15x + 5x + (12 + -8x) + -13x = -10x + 6(2 + -1x) + 1

Reorder the terms:
5 + 12 + -15x + 5x + -8x + -13x = -10x + 6(2 + -1x) + 1

Combine like terms: 5 + 12 = 17
17 + -15x + 5x + -8x + -13x = -10x + 6(2 + -1x) + 1

Combine like terms: -15x + 5x = -10x
17 + -10x + -8x + -13x = -10x + 6(2 + -1x) + 1

Combine like terms: -10x + -8x = -18x
17 + -18x + -13x = -10x + 6(2 + -1x) + 1

Combine like terms: -18x + -13x = -31x
17 + -31x = -10x + 6(2 + -1x) + 1
17 + -31x = -10x + (2 * 6 + -1x * 6) + 1
17 + -31x = -10x + (12 + -6x) + 1

Reorder the terms:
17 + -31x = 12 + 1 + -10x + -6x

Combine like terms: 12 + 1 = 13
17 + -31x = 13 + -10x + -6x

Combine like terms: -10x + -6x = -16x
17 + -31x = 13 + -16x

Solving
17 + -31x = 13 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
17 + -31x + 16x = 13 + -16x + 16x

Combine like terms: -31x + 16x = -15x
17 + -15x = 13 + -16x + 16x

Combine like terms: -16x + 16x = 0
17 + -15x = 13 + 0
17 + -15x = 13

Add '-17' to each side of the equation.
17 + -17 + -15x = 13 + -17

Combine like terms: 17 + -17 = 0
0 + -15x = 13 + -17
-15x = 13 + -17

Combine like terms: 13 + -17 = -4
-15x = -4

Divide each side by '-15'.
x = 0.2666666667

Simplifying
x = 0.2666666667

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