0.7x-0.1(6-x)=4.6

Solution for 0.7x-0.1(6-x)=4.6 equation:

Simplifying
0.7x + -0.1(6 + -1x) = 4.6
0.7x + (6 * -0.1 + -1x * -0.1) = 4.6
0.7x + (-0.6 + 0.1x) = 4.6

Reorder the terms:
-0.6 + 0.7x + 0.1x = 4.6

Combine like terms: 0.7x + 0.1x = 0.8x
-0.6 + 0.8x = 4.6

Solving
-0.6 + 0.8x = 4.6

Solving for variable 'x'.

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

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 0.8x = 4.6 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 0.8x = 4.6 + 0.6
0.8x = 4.6 + 0.6

Combine like terms: 4.6 + 0.6 = 5.2
0.8x = 5.2

Divide each side by '0.8'.
x = 6.5

Simplifying
x = 6.5