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

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


Simplifying
-2(3x + -5) + 3x = 2 + -1x

Reorder the terms:
-2(-5 + 3x) + 3x = 2 + -1x
(-5 * -2 + 3x * -2) + 3x = 2 + -1x
(10 + -6x) + 3x = 2 + -1x

Combine like terms: -6x + 3x = -3x
10 + -3x = 2 + -1x

Solving
10 + -3x = 2 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
10 + -3x + x = 2 + -1x + x

Combine like terms: -3x + x = -2x
10 + -2x = 2 + -1x + x

Combine like terms: -1x + x = 0
10 + -2x = 2 + 0
10 + -2x = 2

Add '-10' to each side of the equation.
10 + -10 + -2x = 2 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = 2 + -10
-2x = 2 + -10

Combine like terms: 2 + -10 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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