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

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


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

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

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

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

Reorder the terms:
12 + 12 + -10 + 6x + -3x + 10x = 5x + 13 + -2x

Combine like terms: 12 + 12 = 24
24 + -10 + 6x + -3x + 10x = 5x + 13 + -2x

Combine like terms: 24 + -10 = 14
14 + 6x + -3x + 10x = 5x + 13 + -2x

Combine like terms: 6x + -3x = 3x
14 + 3x + 10x = 5x + 13 + -2x

Combine like terms: 3x + 10x = 13x
14 + 13x = 5x + 13 + -2x

Reorder the terms:
14 + 13x = 13 + 5x + -2x

Combine like terms: 5x + -2x = 3x
14 + 13x = 13 + 3x

Solving
14 + 13x = 13 + 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.
14 + 13x + -3x = 13 + 3x + -3x

Combine like terms: 13x + -3x = 10x
14 + 10x = 13 + 3x + -3x

Combine like terms: 3x + -3x = 0
14 + 10x = 13 + 0
14 + 10x = 13

Add '-14' to each side of the equation.
14 + -14 + 10x = 13 + -14

Combine like terms: 14 + -14 = 0
0 + 10x = 13 + -14
10x = 13 + -14

Combine like terms: 13 + -14 = -1
10x = -1

Divide each side by '10'.
x = -0.1

Simplifying
x = -0.1

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