0.9x-0.3(5-x)=5.1

Solution for 0.9x-0.3(5-x)=5.1 equation:

Simplifying
0.9x + -0.3(5 + -1x) = 5.1
0.9x + (5 * -0.3 + -1x * -0.3) = 5.1
0.9x + (-1.5 + 0.3x) = 5.1

Reorder the terms:
-1.5 + 0.9x + 0.3x = 5.1

Combine like terms: 0.9x + 0.3x = 1.2x
-1.5 + 1.2x = 5.1

Solving
-1.5 + 1.2x = 5.1

Solving for variable 'x'.

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 1.2x = 5.1 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 1.2x = 5.1 + 1.5
1.2x = 5.1 + 1.5

Combine like terms: 5.1 + 1.5 = 6.6
1.2x = 6.6

Divide each side by '1.2'.
x = 5.5

Simplifying
x = 5.5