178-3x=24x+22

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Solution for 178-3x=24x+22 equation:


Simplifying
178 + -3x = 24x + 22

Reorder the terms:
178 + -3x = 22 + 24x

Solving
178 + -3x = 22 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
178 + -3x + -24x = 22 + 24x + -24x

Combine like terms: -3x + -24x = -27x
178 + -27x = 22 + 24x + -24x

Combine like terms: 24x + -24x = 0
178 + -27x = 22 + 0
178 + -27x = 22

Add '-178' to each side of the equation.
178 + -178 + -27x = 22 + -178

Combine like terms: 178 + -178 = 0
0 + -27x = 22 + -178
-27x = 22 + -178

Combine like terms: 22 + -178 = -156
-27x = -156

Divide each side by '-27'.
x = 5.777777778

Simplifying
x = 5.777777778

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