6(x-1)=8x-20

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Solution for 6(x-1)=8x-20 equation:


Simplifying
6(x + -1) = 8x + -20

Reorder the terms:
6(-1 + x) = 8x + -20
(-1 * 6 + x * 6) = 8x + -20
(-6 + 6x) = 8x + -20

Reorder the terms:
-6 + 6x = -20 + 8x

Solving
-6 + 6x = -20 + 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 = -20 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-6 + -2x = -20 + 8x + -8x

Combine like terms: 8x + -8x = 0
-6 + -2x = -20 + 0
-6 + -2x = -20

Add '6' to each side of the equation.
-6 + 6 + -2x = -20 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = -20 + 6
-2x = -20 + 6

Combine like terms: -20 + 6 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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