5(x-1)+61=-3x

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Solution for 5(x-1)+61=-3x equation:


Simplifying
5(x + -1) + 61 = -3x

Reorder the terms:
5(-1 + x) + 61 = -3x
(-1 * 5 + x * 5) + 61 = -3x
(-5 + 5x) + 61 = -3x

Reorder the terms:
-5 + 61 + 5x = -3x

Combine like terms: -5 + 61 = 56
56 + 5x = -3x

Solving
56 + 5x = -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.
56 + 5x + 3x = -3x + 3x

Combine like terms: 5x + 3x = 8x
56 + 8x = -3x + 3x

Combine like terms: -3x + 3x = 0
56 + 8x = 0

Add '-56' to each side of the equation.
56 + -56 + 8x = 0 + -56

Combine like terms: 56 + -56 = 0
0 + 8x = 0 + -56
8x = 0 + -56

Combine like terms: 0 + -56 = -56
8x = -56

Divide each side by '8'.
x = -7

Simplifying
x = -7

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