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

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


Simplifying
3(x + -2) = 4(3x + -1x)

Reorder the terms:
3(-2 + x) = 4(3x + -1x)
(-2 * 3 + x * 3) = 4(3x + -1x)
(-6 + 3x) = 4(3x + -1x)

Combine like terms: 3x + -1x = 2x
-6 + 3x = 4(2x)

Remove parenthesis around (2x)
-6 + 3x = 4 * 2x

Multiply 4 * 2
-6 + 3x = 8x

Solving
-6 + 3x = 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-6 + 3x + -8x = 8x + -8x

Combine like terms: 3x + -8x = -5x
-6 + -5x = 8x + -8x

Combine like terms: 8x + -8x = 0
-6 + -5x = 0

Add '6' to each side of the equation.
-6 + 6 + -5x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -5x = 0 + 6
-5x = 0 + 6

Combine like terms: 0 + 6 = 6
-5x = 6

Divide each side by '-5'.
x = -1.2

Simplifying
x = -1.2

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