0.45x-0.05(12-x)=0.10(46)

Solution for 0.45x-0.05(12-x)=0.10(46) equation:

Simplifying
0.45x + -0.05(12 + -1x) = 0.10(46)
0.45x + (12 * -0.05 + -1x * -0.05) = 0.10(46)
0.45x + (-0.6 + 0.05x) = 0.10(46)

Reorder the terms:
-0.6 + 0.45x + 0.05x = 0.10(46)

Combine like terms: 0.45x + 0.05x = 0.5x
-0.6 + 0.5x = 0.10(46)

Multiply 0.10 * 46
-0.6 + 0.5x = 4.6

Solving
-0.6 + 0.5x = 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 + 0.5x = 4.6 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 0.5x = 4.6 + 0.6
0.5x = 4.6 + 0.6

Combine like terms: 4.6 + 0.6 = 5.2
0.5x = 5.2

Divide each side by '0.5'.
x = 10.4

Simplifying
x = 10.4