(.12)(50)+(.08)(x)=(.1)(50+x)

Solution for (.12)(50)+(.08)(x)=(.1)(50+x) equation:

Simplifying
(0.12)(50) + (0.08)(x) = (0.1)(50 + x)

Multiply 0.12 * 50
6 + (0.08)(x) = (0.1)(50 + x)
6 + 0.08x = (50 * 0.1 + x * 0.1)
6 + 0.08x = (5 + 0.1x)

Solving
6 + 0.08x = 5 + 0.1x

Solving for variable 'x'.

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

Add '-0.1x' to each side of the equation.
6 + 0.08x + -0.1x = 5 + 0.1x + -0.1x

Combine like terms: 0.08x + -0.1x = -0.02x
6 + -0.02x = 5 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
6 + -0.02x = 5 + 0.0
6 + -0.02x = 5

Add '-6' to each side of the equation.
6 + -6 + -0.02x = 5 + -6

Combine like terms: 6 + -6 = 0
0 + -0.02x = 5 + -6
-0.02x = 5 + -6

Combine like terms: 5 + -6 = -1
-0.02x = -1

Divide each side by '-0.02'.
x = 50

Simplifying
x = 50