3(2-x)=2(3x+4)-5x

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Solution for 3(2-x)=2(3x+4)-5x equation:


Simplifying
3(2 + -1x) = 2(3x + 4) + -5x
(2 * 3 + -1x * 3) = 2(3x + 4) + -5x
(6 + -3x) = 2(3x + 4) + -5x

Reorder the terms:
6 + -3x = 2(4 + 3x) + -5x
6 + -3x = (4 * 2 + 3x * 2) + -5x
6 + -3x = (8 + 6x) + -5x

Combine like terms: 6x + -5x = 1x
6 + -3x = 8 + 1x

Solving
6 + -3x = 8 + 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.
6 + -3x + -1x = 8 + 1x + -1x

Combine like terms: -3x + -1x = -4x
6 + -4x = 8 + 1x + -1x

Combine like terms: 1x + -1x = 0
6 + -4x = 8 + 0
6 + -4x = 8

Add '-6' to each side of the equation.
6 + -6 + -4x = 8 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = 8 + -6
-4x = 8 + -6

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

Divide each side by '-4'.
x = -0.5

Simplifying
x = -0.5

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