5x-7-8x+2=3x-1

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Solution for 5x-7-8x+2=3x-1 equation:


Simplifying
5x + -7 + -8x + 2 = 3x + -1

Reorder the terms:
-7 + 2 + 5x + -8x = 3x + -1

Combine like terms: -7 + 2 = -5
-5 + 5x + -8x = 3x + -1

Combine like terms: 5x + -8x = -3x
-5 + -3x = 3x + -1

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

Solving
-5 + -3x = -1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-5 + -3x + -3x = -1 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-5 + -6x = -1 + 0
-5 + -6x = -1

Add '5' to each side of the equation.
-5 + 5 + -6x = -1 + 5

Combine like terms: -5 + 5 = 0
0 + -6x = -1 + 5
-6x = -1 + 5

Combine like terms: -1 + 5 = 4
-6x = 4

Divide each side by '-6'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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