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

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

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

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

Reorder the terms:
2 + 1x + -3(-3 + x) = 5(2)
2 + 1x + (-3 * -3 + x * -3) = 5(2)
2 + 1x + (9 + -3x) = 5(2)

Reorder the terms:
2 + 9 + 1x + -3x = 5(2)

Combine like terms: 2 + 9 = 11
11 + 1x + -3x = 5(2)

Combine like terms: 1x + -3x = -2x
11 + -2x = 5(2)

Multiply 5 * 2
11 + -2x = 10

Solving
11 + -2x = 10

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + -2x = 10 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = 10 + -11
-2x = 10 + -11

Combine like terms: 10 + -11 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5