6-10x=114-38x

Solution for 6-10x=114-38x equation:

Simplifying
6 + -10x = 114 + -38x

Solving
6 + -10x = 114 + -38x

Solving for variable 'x'.

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

Add '38x' to each side of the equation.
6 + -10x + 38x = 114 + -38x + 38x

Combine like terms: -10x + 38x = 28x
6 + 28x = 114 + -38x + 38x

Combine like terms: -38x + 38x = 0
6 + 28x = 114 + 0
6 + 28x = 114

Add '-6' to each side of the equation.
6 + -6 + 28x = 114 + -6

Combine like terms: 6 + -6 = 0
0 + 28x = 114 + -6
28x = 114 + -6

Combine like terms: 114 + -6 = 108
28x = 108

Divide each side by '28'.
x = 3.857142857

Simplifying
x = 3.857142857