8-4(2x-10)+10x=38

Solution for 8-4(2x-10)+10x=38 equation:

Simplifying
8 + -4(2x + -10) + 10x = 38

Reorder the terms:
8 + -4(-10 + 2x) + 10x = 38
8 + (-10 * -4 + 2x * -4) + 10x = 38
8 + (40 + -8x) + 10x = 38

Combine like terms: 8 + 40 = 48
48 + -8x + 10x = 38

Combine like terms: -8x + 10x = 2x
48 + 2x = 38

Solving
48 + 2x = 38

Solving for variable 'x'.

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

Add '-48' to each side of the equation.
48 + -48 + 2x = 38 + -48

Combine like terms: 48 + -48 = 0
0 + 2x = 38 + -48
2x = 38 + -48

Combine like terms: 38 + -48 = -10
2x = -10

Divide each side by '2'.
x = -5

Simplifying
x = -5