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

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


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

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

Reorder the terms:
-3 + 6x = -2(13 + x)
-3 + 6x = (13 * -2 + x * -2)
-3 + 6x = (-26 + -2x)

Solving
-3 + 6x = -26 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-3 + 6x + 2x = -26 + -2x + 2x

Combine like terms: 6x + 2x = 8x
-3 + 8x = -26 + -2x + 2x

Combine like terms: -2x + 2x = 0
-3 + 8x = -26 + 0
-3 + 8x = -26

Add '3' to each side of the equation.
-3 + 3 + 8x = -26 + 3

Combine like terms: -3 + 3 = 0
0 + 8x = -26 + 3
8x = -26 + 3

Combine like terms: -26 + 3 = -23
8x = -23

Divide each side by '8'.
x = -2.875

Simplifying
x = -2.875

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