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

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


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

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

Combine like terms: 3x + -3x = 0
-3 + 0 = 5(x + 1)
-3 = 5(x + 1)

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

Solving
-3 = 5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-3 + -5x = 5 + 5x + -5x

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

Add '3' to each side of the equation.
-3 + 3 + -5x = 5 + 3

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

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

Divide each side by '-5'.
x = -1.6

Simplifying
x = -1.6

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