-3(-2x+3)=2(x-4)

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Solution for -3(-2x+3)=2(x-4) equation:


Simplifying
-3(-2x + 3) = 2(x + -4)

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

Reorder the terms:
-9 + 6x = 2(-4 + x)
-9 + 6x = (-4 * 2 + x * 2)
-9 + 6x = (-8 + 2x)

Solving
-9 + 6x = -8 + 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.
-9 + 6x + -2x = -8 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-9 + 4x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-9 + 4x = -8 + 0
-9 + 4x = -8

Add '9' to each side of the equation.
-9 + 9 + 4x = -8 + 9

Combine like terms: -9 + 9 = 0
0 + 4x = -8 + 9
4x = -8 + 9

Combine like terms: -8 + 9 = 1
4x = 1

Divide each side by '4'.
x = 0.25

Simplifying
x = 0.25

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