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

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

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

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

Reorder the terms:
3 + 2 + 4x + -5(2 + x) = 3
3 + 2 + 4x + (2 * -5 + x * -5) = 3
3 + 2 + 4x + (-10 + -5x) = 3

Reorder the terms:
3 + 2 + -10 + 4x + -5x = 3

Combine like terms: 3 + 2 = 5
5 + -10 + 4x + -5x = 3

Combine like terms: 5 + -10 = -5
-5 + 4x + -5x = 3

Combine like terms: 4x + -5x = -1x
-5 + -1x = 3

Solving
-5 + -1x = 3

Solving for variable 'x'.

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

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

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

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

Divide each side by '-1'.
x = -8

Simplifying
x = -8