7x-102=x+42

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Solution for 7x-102=x+42 equation:


Simplifying
7x + -102 = x + 42

Reorder the terms:
-102 + 7x = x + 42

Reorder the terms:
-102 + 7x = 42 + x

Solving
-102 + 7x = 42 + 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.
-102 + 7x + -1x = 42 + x + -1x

Combine like terms: 7x + -1x = 6x
-102 + 6x = 42 + x + -1x

Combine like terms: x + -1x = 0
-102 + 6x = 42 + 0
-102 + 6x = 42

Add '102' to each side of the equation.
-102 + 102 + 6x = 42 + 102

Combine like terms: -102 + 102 = 0
0 + 6x = 42 + 102
6x = 42 + 102

Combine like terms: 42 + 102 = 144
6x = 144

Divide each side by '6'.
x = 24

Simplifying
x = 24

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