3x-5+x=2+7x-8

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Solution for 3x-5+x=2+7x-8 equation:


Simplifying
3x + -5 + x = 2 + 7x + -8

Reorder the terms:
-5 + 3x + x = 2 + 7x + -8

Combine like terms: 3x + x = 4x
-5 + 4x = 2 + 7x + -8

Reorder the terms:
-5 + 4x = 2 + -8 + 7x

Combine like terms: 2 + -8 = -6
-5 + 4x = -6 + 7x

Solving
-5 + 4x = -6 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-5 + 4x + -7x = -6 + 7x + -7x

Combine like terms: 4x + -7x = -3x
-5 + -3x = -6 + 7x + -7x

Combine like terms: 7x + -7x = 0
-5 + -3x = -6 + 0
-5 + -3x = -6

Add '5' to each side of the equation.
-5 + 5 + -3x = -6 + 5

Combine like terms: -5 + 5 = 0
0 + -3x = -6 + 5
-3x = -6 + 5

Combine like terms: -6 + 5 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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