(178-3x)=(7x-38)

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Solution for (178-3x)=(7x-38) equation:


Simplifying
(178 + -3x) = (7x + -38)

Remove parenthesis around (178 + -3x)
178 + -3x = (7x + -38)

Reorder the terms:
178 + -3x = (-38 + 7x)

Remove parenthesis around (-38 + 7x)
178 + -3x = -38 + 7x

Solving
178 + -3x = -38 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
178 + -3x + -7x = -38 + 7x + -7x

Combine like terms: -3x + -7x = -10x
178 + -10x = -38 + 7x + -7x

Combine like terms: 7x + -7x = 0
178 + -10x = -38 + 0
178 + -10x = -38

Add '-178' to each side of the equation.
178 + -178 + -10x = -38 + -178

Combine like terms: 178 + -178 = 0
0 + -10x = -38 + -178
-10x = -38 + -178

Combine like terms: -38 + -178 = -216
-10x = -216

Divide each side by '-10'.
x = 21.6

Simplifying
x = 21.6

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