6(x-1)=7x-8

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Solution for 6(x-1)=7x-8 equation:


Simplifying
6(x + -1) = 7x + -8

Reorder the terms:
6(-1 + x) = 7x + -8
(-1 * 6 + x * 6) = 7x + -8
(-6 + 6x) = 7x + -8

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

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

Combine like terms: 6x + -7x = -1x
-6 + -1x = -8 + 7x + -7x

Combine like terms: 7x + -7x = 0
-6 + -1x = -8 + 0
-6 + -1x = -8

Add '6' to each side of the equation.
-6 + 6 + -1x = -8 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = -8 + 6
-1x = -8 + 6

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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