257-7x=38x+22

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Solution for 257-7x=38x+22 equation: 


Simplifying
257 + -7x = 38x + 22

Reorder the terms:
257 + -7x = 22 + 38x

Solving
257 + -7x = 22 + 38x

Solving for variable 'x'.

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

Add '-38x' to each side of the equation.
257 + -7x + -38x = 22 + 38x + -38x

Combine like terms: -7x + -38x = -45x
257 + -45x = 22 + 38x + -38x

Combine like terms: 38x + -38x = 0
257 + -45x = 22 + 0
257 + -45x = 22

Add '-257' to each side of the equation.
257 + -257 + -45x = 22 + -257

Combine like terms: 257 + -257 = 0
0 + -45x = 22 + -257
-45x = 22 + -257

Combine like terms: 22 + -257 = -235
-45x = -235

Divide each side by '-45'.
x = 5.222222222

Simplifying
x = 5.222222222

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