-5x-31=6(x+4)

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Solution for -5x-31=6(x+4) equation:


Simplifying
-5x + -31 = 6(x + 4)

Reorder the terms:
-31 + -5x = 6(x + 4)

Reorder the terms:
-31 + -5x = 6(4 + x)
-31 + -5x = (4 * 6 + x * 6)
-31 + -5x = (24 + 6x)

Solving
-31 + -5x = 24 + 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.
-31 + -5x + -6x = 24 + 6x + -6x

Combine like terms: -5x + -6x = -11x
-31 + -11x = 24 + 6x + -6x

Combine like terms: 6x + -6x = 0
-31 + -11x = 24 + 0
-31 + -11x = 24

Add '31' to each side of the equation.
-31 + 31 + -11x = 24 + 31

Combine like terms: -31 + 31 = 0
0 + -11x = 24 + 31
-11x = 24 + 31

Combine like terms: 24 + 31 = 55
-11x = 55

Divide each side by '-11'.
x = -5

Simplifying
x = -5

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