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

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

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

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

Reorder the terms:
3 + 6x + -2(-2 + 1x) = 5
3 + 6x + (-2 * -2 + 1x * -2) = 5
3 + 6x + (4 + -2x) = 5

Reorder the terms:
3 + 4 + 6x + -2x = 5

Combine like terms: 3 + 4 = 7
7 + 6x + -2x = 5

Combine like terms: 6x + -2x = 4x
7 + 4x = 5

Solving
7 + 4x = 5

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 4x = 5 + -7

Combine like terms: 7 + -7 = 0
0 + 4x = 5 + -7
4x = 5 + -7

Combine like terms: 5 + -7 = -2
4x = -2

Divide each side by '4'.
x = -0.5

Simplifying
x = -0.5