4(2x+1)-2(x-1)=10

Solution for 4(2x+1)-2(x-1)=10 equation:

Simplifying
4(2x + 1) + -2(x + -1) = 10

Reorder the terms:
4(1 + 2x) + -2(x + -1) = 10
(1 * 4 + 2x * 4) + -2(x + -1) = 10
(4 + 8x) + -2(x + -1) = 10

Reorder the terms:
4 + 8x + -2(-1 + x) = 10
4 + 8x + (-1 * -2 + x * -2) = 10
4 + 8x + (2 + -2x) = 10

Reorder the terms:
4 + 2 + 8x + -2x = 10

Combine like terms: 4 + 2 = 6
6 + 8x + -2x = 10

Combine like terms: 8x + -2x = 6x
6 + 6x = 10

Solving
6 + 6x = 10

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 6x = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 6x = 10 + -6
6x = 10 + -6

Combine like terms: 10 + -6 = 4
6x = 4

Divide each side by '6'.
x = 0.6666666667

Simplifying
x = 0.6666666667