6x-5=8x+2

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Solution for 6x-5=8x+2 equation:


Simplifying
6x + -5 = 8x + 2

Reorder the terms:
-5 + 6x = 8x + 2

Reorder the terms:
-5 + 6x = 2 + 8x

Solving
-5 + 6x = 2 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-5 + 6x + -8x = 2 + 8x + -8x

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

Combine like terms: 8x + -8x = 0
-5 + -2x = 2 + 0
-5 + -2x = 2

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

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

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

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5

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