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

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

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

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

Reorder the terms:
4 + 4x + 3(-2 + x) = 5
4 + 4x + (-2 * 3 + x * 3) = 5
4 + 4x + (-6 + 3x) = 5

Reorder the terms:
4 + -6 + 4x + 3x = 5

Combine like terms: 4 + -6 = -2
-2 + 4x + 3x = 5

Combine like terms: 4x + 3x = 7x
-2 + 7x = 5

Solving
-2 + 7x = 5

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 7x = 5 + 2

Combine like terms: -2 + 2 = 0
0 + 7x = 5 + 2
7x = 5 + 2

Combine like terms: 5 + 2 = 7
7x = 7

Divide each side by '7'.
x = 1

Simplifying
x = 1