6x-7+2=3x+5-x

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Solution for 6x-7+2=3x+5-x equation:


Simplifying
6x + -7 + 2 = 3x + 5 + -1x

Reorder the terms:
-7 + 2 + 6x = 3x + 5 + -1x

Combine like terms: -7 + 2 = -5
-5 + 6x = 3x + 5 + -1x

Reorder the terms:
-5 + 6x = 5 + 3x + -1x

Combine like terms: 3x + -1x = 2x
-5 + 6x = 5 + 2x

Solving
-5 + 6x = 5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-5 + 6x + -2x = 5 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-5 + 4x = 5 + 0
-5 + 4x = 5

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

Combine like terms: -5 + 5 = 0
0 + 4x = 5 + 5
4x = 5 + 5

Combine like terms: 5 + 5 = 10
4x = 10

Divide each side by '4'.
x = 2.5

Simplifying
x = 2.5

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