5x-6=8x-7

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Solution for 5x-6=8x-7 equation:


Simplifying
5x + -6 = 8x + -7

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

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

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

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

Combine like terms: 8x + -8x = 0
-6 + -3x = -7 + 0
-6 + -3x = -7

Add '6' to each side of the equation.
-6 + 6 + -3x = -7 + 6

Combine like terms: -6 + 6 = 0
0 + -3x = -7 + 6
-3x = -7 + 6

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

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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