3+2(4x-1)=6-x

Solution for 3+2(4x-1)=6-x equation:

Simplifying
3 + 2(4x + -1) = 6 + -1x

Reorder the terms:
3 + 2(-1 + 4x) = 6 + -1x
3 + (-1 * 2 + 4x * 2) = 6 + -1x
3 + (-2 + 8x) = 6 + -1x

Combine like terms: 3 + -2 = 1
1 + 8x = 6 + -1x

Solving
1 + 8x = 6 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
1 + 8x + x = 6 + -1x + x

Combine like terms: 8x + x = 9x
1 + 9x = 6 + -1x + x

Combine like terms: -1x + x = 0
1 + 9x = 6 + 0
1 + 9x = 6

Add '-1' to each side of the equation.
1 + -1 + 9x = 6 + -1

Combine like terms: 1 + -1 = 0
0 + 9x = 6 + -1
9x = 6 + -1

Combine like terms: 6 + -1 = 5
9x = 5

Divide each side by '9'.
x = 0.5555555556

Simplifying
x = 0.5555555556