6(x-1)=8(x-1)

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


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

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

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

Solving
-6 + 6x = -8 + 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 + 6x + -8x = -8 + 8x + -8x

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

Combine like terms: 8x + -8x = 0
-6 + -2x = -8 + 0
-6 + -2x = -8

Add '6' to each side of the equation.
-6 + 6 + -2x = -8 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = -8 + 6
-2x = -8 + 6

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

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

Simplifying
x = 1

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