x+67=8x-38

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Solution for x+67=8x-38 equation:


Simplifying
x + 67 = 8x + -38

Reorder the terms:
67 + x = 8x + -38

Reorder the terms:
67 + x = -38 + 8x

Solving
67 + x = -38 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
67 + x + -8x = -38 + 8x + -8x

Combine like terms: x + -8x = -7x
67 + -7x = -38 + 8x + -8x

Combine like terms: 8x + -8x = 0
67 + -7x = -38 + 0
67 + -7x = -38

Add '-67' to each side of the equation.
67 + -67 + -7x = -38 + -67

Combine like terms: 67 + -67 = 0
0 + -7x = -38 + -67
-7x = -38 + -67

Combine like terms: -38 + -67 = -105
-7x = -105

Divide each side by '-7'.
x = 15

Simplifying
x = 15

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