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

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


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

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

Reorder the terms:
5 = -3 + 3 + 3x + -2x

Combine like terms: -3 + 3 = 0
5 = 0 + 3x + -2x
5 = 3x + -2x

Combine like terms: 3x + -2x = 1x
5 = 1x

Solving
5 = 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.
5 + -1x = 1x + -1x

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

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

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

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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