4x+10+1x+38=12x-9-1x-9

Solution for 4x+10+1x+38=12x-9-1x-9 equation:

Simplifying
4x + 10 + 1x + 38 = 12x + -9 + -1x + -9

Reorder the terms:
10 + 38 + 4x + 1x = 12x + -9 + -1x + -9

Combine like terms: 10 + 38 = 48
48 + 4x + 1x = 12x + -9 + -1x + -9

Combine like terms: 4x + 1x = 5x
48 + 5x = 12x + -9 + -1x + -9

Reorder the terms:
48 + 5x = -9 + -9 + 12x + -1x

Combine like terms: -9 + -9 = -18
48 + 5x = -18 + 12x + -1x

Combine like terms: 12x + -1x = 11x
48 + 5x = -18 + 11x

Solving
48 + 5x = -18 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
48 + 5x + -11x = -18 + 11x + -11x

Combine like terms: 5x + -11x = -6x
48 + -6x = -18 + 11x + -11x

Combine like terms: 11x + -11x = 0
48 + -6x = -18 + 0
48 + -6x = -18

Add '-48' to each side of the equation.
48 + -48 + -6x = -18 + -48

Combine like terms: 48 + -48 = 0
0 + -6x = -18 + -48
-6x = -18 + -48

Combine like terms: -18 + -48 = -66
-6x = -66

Divide each side by '-6'.
x = 11

Simplifying
x = 11