2x+3(x-2)=5

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

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

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

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

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

Solving
-6 + 5x = 5

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 5x = 5 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 5 + 6
5x = 5 + 6

Combine like terms: 5 + 6 = 11
5x = 11

Divide each side by '5'.
x = 2.2

Simplifying
x = 2.2