x-7=6x-8

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


Simplifying
x + -7 = 6x + -8

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

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

Solving
-7 + x = -8 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-7 + x + -6x = -8 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
-7 + -5x = -8 + 0
-7 + -5x = -8

Add '7' to each side of the equation.
-7 + 7 + -5x = -8 + 7

Combine like terms: -7 + 7 = 0
0 + -5x = -8 + 7
-5x = -8 + 7

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

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2

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