4(x+5)+2(x-1)=60

Solution for 4(x+5)+2(x-1)=60 equation:

Simplifying
4(x + 5) + 2(x + -1) = 60

Reorder the terms:
4(5 + x) + 2(x + -1) = 60
(5 * 4 + x * 4) + 2(x + -1) = 60
(20 + 4x) + 2(x + -1) = 60

Reorder the terms:
20 + 4x + 2(-1 + x) = 60
20 + 4x + (-1 * 2 + x * 2) = 60
20 + 4x + (-2 + 2x) = 60

Reorder the terms:
20 + -2 + 4x + 2x = 60

Combine like terms: 20 + -2 = 18
18 + 4x + 2x = 60

Combine like terms: 4x + 2x = 6x
18 + 6x = 60

Solving
18 + 6x = 60

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + 6x = 60 + -18

Combine like terms: 18 + -18 = 0
0 + 6x = 60 + -18
6x = 60 + -18

Combine like terms: 60 + -18 = 42
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7