31+5x=4(-x+9)-50

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Solution for 31+5x=4(-x+9)-50 equation:


Simplifying
31 + 5x = 4(-1x + 9) + -50

Reorder the terms:
31 + 5x = 4(9 + -1x) + -50
31 + 5x = (9 * 4 + -1x * 4) + -50
31 + 5x = (36 + -4x) + -50

Reorder the terms:
31 + 5x = 36 + -50 + -4x

Combine like terms: 36 + -50 = -14
31 + 5x = -14 + -4x

Solving
31 + 5x = -14 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
31 + 5x + 4x = -14 + -4x + 4x

Combine like terms: 5x + 4x = 9x
31 + 9x = -14 + -4x + 4x

Combine like terms: -4x + 4x = 0
31 + 9x = -14 + 0
31 + 9x = -14

Add '-31' to each side of the equation.
31 + -31 + 9x = -14 + -31

Combine like terms: 31 + -31 = 0
0 + 9x = -14 + -31
9x = -14 + -31

Combine like terms: -14 + -31 = -45
9x = -45

Divide each side by '9'.
x = -5

Simplifying
x = -5

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