31x-24(17x-14)=-17(12+21x)

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Solution for 31x-24(17x-14)=-17(12+21x) equation:


Simplifying
31x + -24(17x + -14) = -17(12 + 21x)

Reorder the terms:
31x + -24(-14 + 17x) = -17(12 + 21x)
31x + (-14 * -24 + 17x * -24) = -17(12 + 21x)
31x + (336 + -408x) = -17(12 + 21x)

Reorder the terms:
336 + 31x + -408x = -17(12 + 21x)

Combine like terms: 31x + -408x = -377x
336 + -377x = -17(12 + 21x)
336 + -377x = (12 * -17 + 21x * -17)
336 + -377x = (-204 + -357x)

Solving
336 + -377x = -204 + -357x

Solving for variable 'x'.

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

Add '357x' to each side of the equation.
336 + -377x + 357x = -204 + -357x + 357x

Combine like terms: -377x + 357x = -20x
336 + -20x = -204 + -357x + 357x

Combine like terms: -357x + 357x = 0
336 + -20x = -204 + 0
336 + -20x = -204

Add '-336' to each side of the equation.
336 + -336 + -20x = -204 + -336

Combine like terms: 336 + -336 = 0
0 + -20x = -204 + -336
-20x = -204 + -336

Combine like terms: -204 + -336 = -540
-20x = -540

Divide each side by '-20'.
x = 27

Simplifying
x = 27

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