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

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


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

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

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

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

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

Solving
8 + -2x = 3 + -3x

Solving for variable 'x'.

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

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

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

Combine like terms: -3x + 3x = 0
8 + 1x = 3 + 0
8 + 1x = 3

Add '-8' to each side of the equation.
8 + -8 + 1x = 3 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = 3 + -8
1x = 3 + -8

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

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

Simplifying
x = -5

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