31=3x-4(22-x)

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Solution for 31=3x-4(22-x) equation:


Simplifying
31 = 3x + -4(22 + -1x)
31 = 3x + (22 * -4 + -1x * -4)
31 = 3x + (-88 + 4x)

Reorder the terms:
31 = -88 + 3x + 4x

Combine like terms: 3x + 4x = 7x
31 = -88 + 7x

Solving
31 = -88 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
31 + -7x = -88 + 7x + -7x

Combine like terms: 7x + -7x = 0
31 + -7x = -88 + 0
31 + -7x = -88

Add '-31' to each side of the equation.
31 + -31 + -7x = -88 + -31

Combine like terms: 31 + -31 = 0
0 + -7x = -88 + -31
-7x = -88 + -31

Combine like terms: -88 + -31 = -119
-7x = -119

Divide each side by '-7'.
x = 17

Simplifying
x = 17

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