6(x-1)=2x+8

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Solution for 6(x-1)=2x+8 equation:


Simplifying
6(x + -1) = 2x + 8

Reorder the terms:
6(-1 + x) = 2x + 8
(-1 * 6 + x * 6) = 2x + 8
(-6 + 6x) = 2x + 8

Reorder the terms:
-6 + 6x = 8 + 2x

Solving
-6 + 6x = 8 + 2x

Solving for variable 'x'.

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

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

Combine like terms: 6x + -2x = 4x
-6 + 4x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + 4x = 8 + 0
-6 + 4x = 8

Add '6' to each side of the equation.
-6 + 6 + 4x = 8 + 6

Combine like terms: -6 + 6 = 0
0 + 4x = 8 + 6
4x = 8 + 6

Combine like terms: 8 + 6 = 14
4x = 14

Divide each side by '4'.
x = 3.5

Simplifying
x = 3.5

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