2(x-10)-6=31x-374

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Solution for 2(x-10)-6=31x-374 equation:


Simplifying
2(x + -10) + -6 = 31x + -374

Reorder the terms:
2(-10 + x) + -6 = 31x + -374
(-10 * 2 + x * 2) + -6 = 31x + -374
(-20 + 2x) + -6 = 31x + -374

Reorder the terms:
-20 + -6 + 2x = 31x + -374

Combine like terms: -20 + -6 = -26
-26 + 2x = 31x + -374

Reorder the terms:
-26 + 2x = -374 + 31x

Solving
-26 + 2x = -374 + 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.
-26 + 2x + -31x = -374 + 31x + -31x

Combine like terms: 2x + -31x = -29x
-26 + -29x = -374 + 31x + -31x

Combine like terms: 31x + -31x = 0
-26 + -29x = -374 + 0
-26 + -29x = -374

Add '26' to each side of the equation.
-26 + 26 + -29x = -374 + 26

Combine like terms: -26 + 26 = 0
0 + -29x = -374 + 26
-29x = -374 + 26

Combine like terms: -374 + 26 = -348
-29x = -348

Divide each side by '-29'.
x = 12

Simplifying
x = 12

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