6-2x+8=5x+2x-1

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Solution for 6-2x+8=5x+2x-1 equation:


Simplifying
6 + -2x + 8 = 5x + 2x + -1

Reorder the terms:
6 + 8 + -2x = 5x + 2x + -1

Combine like terms: 6 + 8 = 14
14 + -2x = 5x + 2x + -1

Reorder the terms:
14 + -2x = -1 + 5x + 2x

Combine like terms: 5x + 2x = 7x
14 + -2x = -1 + 7x

Solving
14 + -2x = -1 + 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.
14 + -2x + -7x = -1 + 7x + -7x

Combine like terms: -2x + -7x = -9x
14 + -9x = -1 + 7x + -7x

Combine like terms: 7x + -7x = 0
14 + -9x = -1 + 0
14 + -9x = -1

Add '-14' to each side of the equation.
14 + -14 + -9x = -1 + -14

Combine like terms: 14 + -14 = 0
0 + -9x = -1 + -14
-9x = -1 + -14

Combine like terms: -1 + -14 = -15
-9x = -15

Divide each side by '-9'.
x = 1.666666667

Simplifying
x = 1.666666667

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