5-3(x-1)=6+2x

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Solution for 5-3(x-1)=6+2x equation: 


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

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

Combine like terms: 5 + 3 = 8
8 + -3x = 6 + 2x

Solving
8 + -3x = 6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
8 + -3x + -2x = 6 + 2x + -2x

Combine like terms: -3x + -2x = -5x
8 + -5x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 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 = -2
-5x = -2

Divide each side by '-5'.
x = 0.4

Simplifying
x = 0.4

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