-3(2x-4)=4(1.5x-3)

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Solution for -3(2x-4)=4(1.5x-3) equation:


Simplifying
-3(2x + -4) = 4(1.5x + -3)

Reorder the terms:
-3(-4 + 2x) = 4(1.5x + -3)
(-4 * -3 + 2x * -3) = 4(1.5x + -3)
(12 + -6x) = 4(1.5x + -3)

Reorder the terms:
12 + -6x = 4(-3 + 1.5x)
12 + -6x = (-3 * 4 + 1.5x * 4)
12 + -6x = (-12 + 6x)

Solving
12 + -6x = -12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
12 + -6x + -6x = -12 + 6x + -6x

Combine like terms: -6x + -6x = -12x
12 + -12x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
12 + -12x = -12 + 0
12 + -12x = -12

Add '-12' to each side of the equation.
12 + -12 + -12x = -12 + -12

Combine like terms: 12 + -12 = 0
0 + -12x = -12 + -12
-12x = -12 + -12

Combine like terms: -12 + -12 = -24
-12x = -24

Divide each side by '-12'.
x = 2

Simplifying
x = 2

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