4(x-5)-12=31x-167

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Solution for 4(x-5)-12=31x-167 equation:


Simplifying
4(x + -5) + -12 = 31x + -167

Reorder the terms:
4(-5 + x) + -12 = 31x + -167
(-5 * 4 + x * 4) + -12 = 31x + -167
(-20 + 4x) + -12 = 31x + -167

Reorder the terms:
-20 + -12 + 4x = 31x + -167

Combine like terms: -20 + -12 = -32
-32 + 4x = 31x + -167

Reorder the terms:
-32 + 4x = -167 + 31x

Solving
-32 + 4x = -167 + 31x

Solving for variable 'x'.

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

Add '-31x' to each side of the equation.
-32 + 4x + -31x = -167 + 31x + -31x

Combine like terms: 4x + -31x = -27x
-32 + -27x = -167 + 31x + -31x

Combine like terms: 31x + -31x = 0
-32 + -27x = -167 + 0
-32 + -27x = -167

Add '32' to each side of the equation.
-32 + 32 + -27x = -167 + 32

Combine like terms: -32 + 32 = 0
0 + -27x = -167 + 32
-27x = -167 + 32

Combine like terms: -167 + 32 = -135
-27x = -135

Divide each side by '-27'.
x = 5

Simplifying
x = 5

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