7x-2=-x+38

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Solution for 7x-2=-x+38 equation:


Simplifying
7x + -2 = -1x + 38

Reorder the terms:
-2 + 7x = -1x + 38

Reorder the terms:
-2 + 7x = 38 + -1x

Solving
-2 + 7x = 38 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-2 + 7x + x = 38 + -1x + x

Combine like terms: 7x + x = 8x
-2 + 8x = 38 + -1x + x

Combine like terms: -1x + x = 0
-2 + 8x = 38 + 0
-2 + 8x = 38

Add '2' to each side of the equation.
-2 + 2 + 8x = 38 + 2

Combine like terms: -2 + 2 = 0
0 + 8x = 38 + 2
8x = 38 + 2

Combine like terms: 38 + 2 = 40
8x = 40

Divide each side by '8'.
x = 5

Simplifying
x = 5

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