-102=-3x-2(5x-1)

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Solution for -102=-3x-2(5x-1) equation:


Simplifying
-102 = -3x + -2(5x + -1)

Reorder the terms:
-102 = -3x + -2(-1 + 5x)
-102 = -3x + (-1 * -2 + 5x * -2)
-102 = -3x + (2 + -10x)

Reorder the terms:
-102 = 2 + -3x + -10x

Combine like terms: -3x + -10x = -13x
-102 = 2 + -13x

Solving
-102 = 2 + -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.
-102 + 13x = 2 + -13x + 13x

Combine like terms: -13x + 13x = 0
-102 + 13x = 2 + 0
-102 + 13x = 2

Add '102' to each side of the equation.
-102 + 102 + 13x = 2 + 102

Combine like terms: -102 + 102 = 0
0 + 13x = 2 + 102
13x = 2 + 102

Combine like terms: 2 + 102 = 104
13x = 104

Divide each side by '13'.
x = 8

Simplifying
x = 8

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