2(x-1)+6x=4(2-6)+2

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Solution for 2(x-1)+6x=4(2-6)+2 equation: 


Simplifying
2(x + -1) + 6x = 4(2 + -6) + 2

Reorder the terms:
2(-1 + x) + 6x = 4(2 + -6) + 2
(-1 * 2 + x * 2) + 6x = 4(2 + -6) + 2
(-2 + 2x) + 6x = 4(2 + -6) + 2

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

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

Multiply 4 * -4
-2 + 8x = -16 + 2

Combine like terms: -16 + 2 = -14
-2 + 8x = -14

Solving
-2 + 8x = -14

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 8x = -14 + 2

Combine like terms: -2 + 2 = 0
0 + 8x = -14 + 2
8x = -14 + 2

Combine like terms: -14 + 2 = -12
8x = -12

Divide each side by '8'.
x = -1.5

Simplifying
x = -1.5

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