0.9x-0.7(6-x)=4.6

Solution for 0.9x-0.7(6-x)=4.6 equation:

Simplifying
0.9x + -0.7(6 + -1x) = 4.6
0.9x + (6 * -0.7 + -1x * -0.7) = 4.6
0.9x + (-4.2 + 0.7x) = 4.6

Reorder the terms:
-4.2 + 0.9x + 0.7x = 4.6

Combine like terms: 0.9x + 0.7x = 1.6x
-4.2 + 1.6x = 4.6

Solving
-4.2 + 1.6x = 4.6

Solving for variable 'x'.

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

Add '4.2' to each side of the equation.
-4.2 + 4.2 + 1.6x = 4.6 + 4.2

Combine like terms: -4.2 + 4.2 = 0.0
0.0 + 1.6x = 4.6 + 4.2
1.6x = 4.6 + 4.2

Combine like terms: 4.6 + 4.2 = 8.8
1.6x = 8.8

Divide each side by '1.6'.
x = 5.5

Simplifying
x = 5.5