2x-6+3x=7x-8

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Solution for 2x-6+3x=7x-8 equation:


Simplifying
2x + -6 + 3x = 7x + -8

Reorder the terms:
-6 + 2x + 3x = 7x + -8

Combine like terms: 2x + 3x = 5x
-6 + 5x = 7x + -8

Reorder the terms:
-6 + 5x = -8 + 7x

Solving
-6 + 5x = -8 + 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.
-6 + 5x + -7x = -8 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
-6 + -2x = -8 + 0
-6 + -2x = -8

Add '6' to each side of the equation.
-6 + 6 + -2x = -8 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = -8 + 6
-2x = -8 + 6

Combine like terms: -8 + 6 = -2
-2x = -2

Divide each side by '-2'.
x = 1

Simplifying
x = 1

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