3(2x+1)-2(1-x)=5

Solution for 3(2x+1)-2(1-x)=5 equation:

Simplifying
3(2x + 1) + -2(1 + -1x) = 5

Reorder the terms:
3(1 + 2x) + -2(1 + -1x) = 5
(1 * 3 + 2x * 3) + -2(1 + -1x) = 5
(3 + 6x) + -2(1 + -1x) = 5
3 + 6x + (1 * -2 + -1x * -2) = 5
3 + 6x + (-2 + 2x) = 5

Reorder the terms:
3 + -2 + 6x + 2x = 5

Combine like terms: 3 + -2 = 1
1 + 6x + 2x = 5

Combine like terms: 6x + 2x = 8x
1 + 8x = 5

Solving
1 + 8x = 5

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 8x = 5 + -1

Combine like terms: 1 + -1 = 0
0 + 8x = 5 + -1
8x = 5 + -1

Combine like terms: 5 + -1 = 4
8x = 4

Divide each side by '8'.
x = 0.5

Simplifying
x = 0.5