1(x+6)+3(x-4)=10

Solution for 1(x+6)+3(x-4)=10 equation:

Simplifying
1(x + 6) + 3(x + -4) = 10

Reorder the terms:
1(6 + x) + 3(x + -4) = 10
(6 * 1 + x * 1) + 3(x + -4) = 10
(6 + 1x) + 3(x + -4) = 10

Reorder the terms:
6 + 1x + 3(-4 + x) = 10
6 + 1x + (-4 * 3 + x * 3) = 10
6 + 1x + (-12 + 3x) = 10

Reorder the terms:
6 + -12 + 1x + 3x = 10

Combine like terms: 6 + -12 = -6
-6 + 1x + 3x = 10

Combine like terms: 1x + 3x = 4x
-6 + 4x = 10

Solving
-6 + 4x = 10

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 4x = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 4x = 10 + 6
4x = 10 + 6

Combine like terms: 10 + 6 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4