0.65x+0.2(18-x)=0.3(18)

Solution for 0.65x+0.2(18-x)=0.3(18) equation:

Simplifying
0.65x + 0.2(18 + -1x) = 0.3(18)
0.65x + (18 * 0.2 + -1x * 0.2) = 0.3(18)
0.65x + (3.6 + -0.2x) = 0.3(18)

Reorder the terms:
3.6 + 0.65x + -0.2x = 0.3(18)

Combine like terms: 0.65x + -0.2x = 0.45x
3.6 + 0.45x = 0.3(18)

Multiply 0.3 * 18
3.6 + 0.45x = 5.4

Solving
3.6 + 0.45x = 5.4

Solving for variable 'x'.

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

Add '-3.6' to each side of the equation.
3.6 + -3.6 + 0.45x = 5.4 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + 0.45x = 5.4 + -3.6
0.45x = 5.4 + -3.6

Combine like terms: 5.4 + -3.6 = 1.8
0.45x = 1.8

Divide each side by '0.45'.
x = 4

Simplifying
x = 4