4(3x-6)=3(3x-4)

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Solution for 4(3x-6)=3(3x-4) equation:


Simplifying
4(3x + -6) = 3(3x + -4)

Reorder the terms:
4(-6 + 3x) = 3(3x + -4)
(-6 * 4 + 3x * 4) = 3(3x + -4)
(-24 + 12x) = 3(3x + -4)

Reorder the terms:
-24 + 12x = 3(-4 + 3x)
-24 + 12x = (-4 * 3 + 3x * 3)
-24 + 12x = (-12 + 9x)

Solving
-24 + 12x = -12 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-24 + 12x + -9x = -12 + 9x + -9x

Combine like terms: 12x + -9x = 3x
-24 + 3x = -12 + 9x + -9x

Combine like terms: 9x + -9x = 0
-24 + 3x = -12 + 0
-24 + 3x = -12

Add '24' to each side of the equation.
-24 + 24 + 3x = -12 + 24

Combine like terms: -24 + 24 = 0
0 + 3x = -12 + 24
3x = -12 + 24

Combine like terms: -12 + 24 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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