5(x-1)+53=-3x

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Solution for 5(x-1)+53=-3x equation:


Simplifying
5(x + -1) + 53 = -3x

Reorder the terms:
5(-1 + x) + 53 = -3x
(-1 * 5 + x * 5) + 53 = -3x
(-5 + 5x) + 53 = -3x

Reorder the terms:
-5 + 53 + 5x = -3x

Combine like terms: -5 + 53 = 48
48 + 5x = -3x

Solving
48 + 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.
48 + 5x + 3x = -3x + 3x

Combine like terms: 5x + 3x = 8x
48 + 8x = -3x + 3x

Combine like terms: -3x + 3x = 0
48 + 8x = 0

Add '-48' to each side of the equation.
48 + -48 + 8x = 0 + -48

Combine like terms: 48 + -48 = 0
0 + 8x = 0 + -48
8x = 0 + -48

Combine like terms: 0 + -48 = -48
8x = -48

Divide each side by '8'.
x = -6

Simplifying
x = -6

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