5(2x+4)-(x-6)=10

Solution for 5(2x+4)-(x-6)=10 equation:

Simplifying
5(2x + 4) + -1(x + -6) = 10

Reorder the terms:
5(4 + 2x) + -1(x + -6) = 10
(4 * 5 + 2x * 5) + -1(x + -6) = 10
(20 + 10x) + -1(x + -6) = 10

Reorder the terms:
20 + 10x + -1(-6 + x) = 10
20 + 10x + (-6 * -1 + x * -1) = 10
20 + 10x + (6 + -1x) = 10

Reorder the terms:
20 + 6 + 10x + -1x = 10

Combine like terms: 20 + 6 = 26
26 + 10x + -1x = 10

Combine like terms: 10x + -1x = 9x
26 + 9x = 10

Solving
26 + 9x = 10

Solving for variable 'x'.

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

Add '-26' to each side of the equation.
26 + -26 + 9x = 10 + -26

Combine like terms: 26 + -26 = 0
0 + 9x = 10 + -26
9x = 10 + -26

Combine like terms: 10 + -26 = -16
9x = -16

Divide each side by '9'.
x = -1.777777778

Simplifying
x = -1.777777778