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

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


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

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

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

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

Combine like terms: -2 + -2 = -4
-4 + 6x + -3x = -13

Combine like terms: 6x + -3x = 3x
-4 + 3x = -13

Solving
-4 + 3x = -13

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 3x = -13 + 4

Combine like terms: -4 + 4 = 0
0 + 3x = -13 + 4
3x = -13 + 4

Combine like terms: -13 + 4 = -9
3x = -9

Divide each side by '3'.
x = -3

Simplifying
x = -3

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