2(x-1)-3(2x-5)=15-5(6x+1)

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Solution for 2(x-1)-3(2x-5)=15-5(6x+1) equation:


Simplifying
2(x + -1) + -3(2x + -5) = 15 + -5(6x + 1)

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

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

Reorder the terms:
-2 + 15 + 2x + -6x = 15 + -5(6x + 1)

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

Combine like terms: 2x + -6x = -4x
13 + -4x = 15 + -5(6x + 1)

Reorder the terms:
13 + -4x = 15 + -5(1 + 6x)
13 + -4x = 15 + (1 * -5 + 6x * -5)
13 + -4x = 15 + (-5 + -30x)

Combine like terms: 15 + -5 = 10
13 + -4x = 10 + -30x

Solving
13 + -4x = 10 + -30x

Solving for variable 'x'.

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

Add '30x' to each side of the equation.
13 + -4x + 30x = 10 + -30x + 30x

Combine like terms: -4x + 30x = 26x
13 + 26x = 10 + -30x + 30x

Combine like terms: -30x + 30x = 0
13 + 26x = 10 + 0
13 + 26x = 10

Add '-13' to each side of the equation.
13 + -13 + 26x = 10 + -13

Combine like terms: 13 + -13 = 0
0 + 26x = 10 + -13
26x = 10 + -13

Combine like terms: 10 + -13 = -3
26x = -3

Divide each side by '26'.
x = -0.1153846154

Simplifying
x = -0.1153846154

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