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

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


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

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

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

Combine like terms: -5 + 6 = 1
1 + 5x + 6x = -3(x + 3)

Combine like terms: 5x + 6x = 11x
1 + 11x = -3(x + 3)

Reorder the terms:
1 + 11x = -3(3 + x)
1 + 11x = (3 * -3 + x * -3)
1 + 11x = (-9 + -3x)

Solving
1 + 11x = -9 + -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.
1 + 11x + 3x = -9 + -3x + 3x

Combine like terms: 11x + 3x = 14x
1 + 14x = -9 + -3x + 3x

Combine like terms: -3x + 3x = 0
1 + 14x = -9 + 0
1 + 14x = -9

Add '-1' to each side of the equation.
1 + -1 + 14x = -9 + -1

Combine like terms: 1 + -1 = 0
0 + 14x = -9 + -1
14x = -9 + -1

Combine like terms: -9 + -1 = -10
14x = -10

Divide each side by '14'.
x = -0.7142857143

Simplifying
x = -0.7142857143

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