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

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

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

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

Remove parenthesis around (2 + x)
2 + x + 3(x + -4) = 10

Reorder the terms:
2 + x + 3(-4 + x) = 10
2 + x + (-4 * 3 + x * 3) = 10
2 + x + (-12 + 3x) = 10

Reorder the terms:
2 + -12 + x + 3x = 10

Combine like terms: 2 + -12 = -10
-10 + x + 3x = 10

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

Solving
-10 + 4x = 10

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 4x = 10 + 10

Combine like terms: -10 + 10 = 0
0 + 4x = 10 + 10
4x = 10 + 10

Combine like terms: 10 + 10 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5