31-9x=1-3(4x-17)

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Solution for 31-9x=1-3(4x-17) equation:


Simplifying
31 + -9x = 1 + -3(4x + -17)

Reorder the terms:
31 + -9x = 1 + -3(-17 + 4x)
31 + -9x = 1 + (-17 * -3 + 4x * -3)
31 + -9x = 1 + (51 + -12x)

Combine like terms: 1 + 51 = 52
31 + -9x = 52 + -12x

Solving
31 + -9x = 52 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
31 + -9x + 12x = 52 + -12x + 12x

Combine like terms: -9x + 12x = 3x
31 + 3x = 52 + -12x + 12x

Combine like terms: -12x + 12x = 0
31 + 3x = 52 + 0
31 + 3x = 52

Add '-31' to each side of the equation.
31 + -31 + 3x = 52 + -31

Combine like terms: 31 + -31 = 0
0 + 3x = 52 + -31
3x = 52 + -31

Combine like terms: 52 + -31 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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