4.2=.75(4.2)+x

Solution for 4.2=.75(4.2)+x equation:

Simplifying
4.2 = 0.75(4.2) + x

Multiply 0.75 * 4.2
4.2 = 3.15 + x

Solving
4.2 = 3.15 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
4.2 + -1x = 3.15 + x + -1x

Combine like terms: x + -1x = 0
4.2 + -1x = 3.15 + 0
4.2 + -1x = 3.15

Add '-4.2' to each side of the equation.
4.2 + -4.2 + -1x = 3.15 + -4.2

Combine like terms: 4.2 + -4.2 = 0.0
0.0 + -1x = 3.15 + -4.2
-1x = 3.15 + -4.2

Combine like terms: 3.15 + -4.2 = -1.05
-1x = -1.05

Divide each side by '-1'.
x = 1.05

Simplifying
x = 1.05