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

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

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

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

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

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

Solving
-3 + 2x = 5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-3 + 2x + -1x = 5 + x + -1x

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

Combine like terms: x + -1x = 0
-3 + 1x = 5 + 0
-3 + 1x = 5

Add '3' to each side of the equation.
-3 + 3 + 1x = 5 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = 5 + 3
1x = 5 + 3

Combine like terms: 5 + 3 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8