5.2x-15.2+3.8x=4.2+10x

Solution for 5.2x-15.2+3.8x=4.2+10x equation:

Simplifying
5.2x + -15.2 + 3.8x = 4.2 + 10x

Reorder the terms:
-15.2 + 5.2x + 3.8x = 4.2 + 10x

Combine like terms: 5.2x + 3.8x = 9x
-15.2 + 9x = 4.2 + 10x

Solving
-15.2 + 9x = 4.2 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-15.2 + 9x + -10x = 4.2 + 10x + -10x

Combine like terms: 9x + -10x = -1x
-15.2 + -1x = 4.2 + 10x + -10x

Combine like terms: 10x + -10x = 0
-15.2 + -1x = 4.2 + 0
-15.2 + -1x = 4.2

Add '15.2' to each side of the equation.
-15.2 + 15.2 + -1x = 4.2 + 15.2

Combine like terms: -15.2 + 15.2 = 0.0
0.0 + -1x = 4.2 + 15.2
-1x = 4.2 + 15.2

Combine like terms: 4.2 + 15.2 = 19.4
-1x = 19.4

Divide each side by '-1'.
x = -19.4

Simplifying
x = -19.4