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

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

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

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

Combine like terms: 2x + 6x = 8x
-2 + 8x = 4(6 + -1) + 2

Combine like terms: 6 + -1 = 5
-2 + 8x = 4(5) + 2

Multiply 4 * 5
-2 + 8x = 20 + 2

Combine like terms: 20 + 2 = 22
-2 + 8x = 22

Solving
-2 + 8x = 22

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 = 22 + 2

Combine like terms: -2 + 2 = 0
0 + 8x = 22 + 2
8x = 22 + 2

Combine like terms: 22 + 2 = 24
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3