3(x+1)+2(x-4)=5

Solution for 3(x+1)+2(x-4)=5 equation:

Simplifying
3(x + 1) + 2(x + -4) = 5

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

Reorder the terms:
3 + 3x + 2(-4 + x) = 5
3 + 3x + (-4 * 2 + x * 2) = 5
3 + 3x + (-8 + 2x) = 5

Reorder the terms:
3 + -8 + 3x + 2x = 5

Combine like terms: 3 + -8 = -5
-5 + 3x + 2x = 5

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

Solving
-5 + 5x = 5

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 + 5x = 5 + 5

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

Combine like terms: 5 + 5 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2