3*(x+2)+4*(x-5)=10

Solution for 3*(x+2)+4*(x-5)=10 equation:

Simplifying
3(x + 2) + 4(x + -5) = 10

Reorder the terms:
3(2 + x) + 4(x + -5) = 10
(2 * 3 + x * 3) + 4(x + -5) = 10
(6 + 3x) + 4(x + -5) = 10

Reorder the terms:
6 + 3x + 4(-5 + x) = 10
6 + 3x + (-5 * 4 + x * 4) = 10
6 + 3x + (-20 + 4x) = 10

Reorder the terms:
6 + -20 + 3x + 4x = 10

Combine like terms: 6 + -20 = -14
-14 + 3x + 4x = 10

Combine like terms: 3x + 4x = 7x
-14 + 7x = 10

Solving
-14 + 7x = 10

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 7x = 10 + 14

Combine like terms: -14 + 14 = 0
0 + 7x = 10 + 14
7x = 10 + 14

Combine like terms: 10 + 14 = 24
7x = 24

Divide each side by '7'.
x = 3.428571429

Simplifying
x = 3.428571429