5(x+6)+3(x-8)=46

Solution for 5(x+6)+3(x-8)=46 equation:

Simplifying
5(x + 6) + 3(x + -8) = 46

Reorder the terms:
5(6 + x) + 3(x + -8) = 46
(6 * 5 + x * 5) + 3(x + -8) = 46
(30 + 5x) + 3(x + -8) = 46

Reorder the terms:
30 + 5x + 3(-8 + x) = 46
30 + 5x + (-8 * 3 + x * 3) = 46
30 + 5x + (-24 + 3x) = 46

Reorder the terms:
30 + -24 + 5x + 3x = 46

Combine like terms: 30 + -24 = 6
6 + 5x + 3x = 46

Combine like terms: 5x + 3x = 8x
6 + 8x = 46

Solving
6 + 8x = 46

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 + 8x = 46 + -6

Combine like terms: 6 + -6 = 0
0 + 8x = 46 + -6
8x = 46 + -6

Combine like terms: 46 + -6 = 40
8x = 40

Divide each side by '8'.
x = 5

Simplifying
x = 5