3x+31=10x-257

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Solution for 3x+31=10x-257 equation:


Simplifying
3x + 31 = 10x + -257

Reorder the terms:
31 + 3x = 10x + -257

Reorder the terms:
31 + 3x = -257 + 10x

Solving
31 + 3x = -257 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
31 + 3x + -10x = -257 + 10x + -10x

Combine like terms: 3x + -10x = -7x
31 + -7x = -257 + 10x + -10x

Combine like terms: 10x + -10x = 0
31 + -7x = -257 + 0
31 + -7x = -257

Add '-31' to each side of the equation.
31 + -31 + -7x = -257 + -31

Combine like terms: 31 + -31 = 0
0 + -7x = -257 + -31
-7x = -257 + -31

Combine like terms: -257 + -31 = -288
-7x = -288

Divide each side by '-7'.
x = 41.14285714

Simplifying
x = 41.14285714

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