-3(2x-1)=2(2x+9)

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Solution for -3(2x-1)=2(2x+9) equation:


Simplifying
-3(2x + -1) = 2(2x + 9)

Reorder the terms:
-3(-1 + 2x) = 2(2x + 9)
(-1 * -3 + 2x * -3) = 2(2x + 9)
(3 + -6x) = 2(2x + 9)

Reorder the terms:
3 + -6x = 2(9 + 2x)
3 + -6x = (9 * 2 + 2x * 2)
3 + -6x = (18 + 4x)

Solving
3 + -6x = 18 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
3 + -6x + -4x = 18 + 4x + -4x

Combine like terms: -6x + -4x = -10x
3 + -10x = 18 + 4x + -4x

Combine like terms: 4x + -4x = 0
3 + -10x = 18 + 0
3 + -10x = 18

Add '-3' to each side of the equation.
3 + -3 + -10x = 18 + -3

Combine like terms: 3 + -3 = 0
0 + -10x = 18 + -3
-10x = 18 + -3

Combine like terms: 18 + -3 = 15
-10x = 15

Divide each side by '-10'.
x = -1.5

Simplifying
x = -1.5

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