8x-101=x-74

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Solution for 8x-101=x-74 equation:


Simplifying
8x + -101 = x + -74

Reorder the terms:
-101 + 8x = x + -74

Reorder the terms:
-101 + 8x = -74 + x

Solving
-101 + 8x = -74 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-101 + 8x + -1x = -74 + x + -1x

Combine like terms: 8x + -1x = 7x
-101 + 7x = -74 + x + -1x

Combine like terms: x + -1x = 0
-101 + 7x = -74 + 0
-101 + 7x = -74

Add '101' to each side of the equation.
-101 + 101 + 7x = -74 + 101

Combine like terms: -101 + 101 = 0
0 + 7x = -74 + 101
7x = -74 + 101

Combine like terms: -74 + 101 = 27
7x = 27

Divide each side by '7'.
x = 3.857142857

Simplifying
x = 3.857142857

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