5(x+8)=-6x-48

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Solution for 5(x+8)=-6x-48 equation:


Simplifying
5(x + 8) = -6x + -48

Reorder the terms:
5(8 + x) = -6x + -48
(8 * 5 + x * 5) = -6x + -48
(40 + 5x) = -6x + -48

Reorder the terms:
40 + 5x = -48 + -6x

Solving
40 + 5x = -48 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
40 + 5x + 6x = -48 + -6x + 6x

Combine like terms: 5x + 6x = 11x
40 + 11x = -48 + -6x + 6x

Combine like terms: -6x + 6x = 0
40 + 11x = -48 + 0
40 + 11x = -48

Add '-40' to each side of the equation.
40 + -40 + 11x = -48 + -40

Combine like terms: 40 + -40 = 0
0 + 11x = -48 + -40
11x = -48 + -40

Combine like terms: -48 + -40 = -88
11x = -88

Divide each side by '11'.
x = -8

Simplifying
x = -8

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