7x+38=3x-178

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Solution for 7x+38=3x-178 equation:


Simplifying
7x + 38 = 3x + -178

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

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

Solving
38 + 7x = -178 + 3x

Solving for variable 'x'.

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

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

Combine like terms: 7x + -3x = 4x
38 + 4x = -178 + 3x + -3x

Combine like terms: 3x + -3x = 0
38 + 4x = -178 + 0
38 + 4x = -178

Add '-38' to each side of the equation.
38 + -38 + 4x = -178 + -38

Combine like terms: 38 + -38 = 0
0 + 4x = -178 + -38
4x = -178 + -38

Combine like terms: -178 + -38 = -216
4x = -216

Divide each side by '4'.
x = -54

Simplifying
x = -54

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