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

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

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

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

Combine like terms: x + -1x = 0
4 + 2x = 3(0) + 5

Multiply 3 * 0
4 + 2x = 0 + 5

Anything times zero is zero.
4 + 2x = 0 + 5

Combine like terms: 0 + 5 = 5
4 + 2x = 5

Solving
4 + 2x = 5

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 2x = 5 + -4

Combine like terms: 4 + -4 = 0
0 + 2x = 5 + -4
2x = 5 + -4

Combine like terms: 5 + -4 = 1
2x = 1

Divide each side by '2'.
x = 0.5

Simplifying
x = 0.5