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

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


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

Reorder the terms:
2(-4 + 3x) = 3(x + 2) + -2x
(-4 * 2 + 3x * 2) = 3(x + 2) + -2x
(-8 + 6x) = 3(x + 2) + -2x

Reorder the terms:
-8 + 6x = 3(2 + x) + -2x
-8 + 6x = (2 * 3 + x * 3) + -2x
-8 + 6x = (6 + 3x) + -2x

Combine like terms: 3x + -2x = 1x
-8 + 6x = 6 + 1x

Solving
-8 + 6x = 6 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-8 + 6x + -1x = 6 + 1x + -1x

Combine like terms: 6x + -1x = 5x
-8 + 5x = 6 + 1x + -1x

Combine like terms: 1x + -1x = 0
-8 + 5x = 6 + 0
-8 + 5x = 6

Add '8' to each side of the equation.
-8 + 8 + 5x = 6 + 8

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

Combine like terms: 6 + 8 = 14
5x = 14

Divide each side by '5'.
x = 2.8

Simplifying
x = 2.8

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