0.03(200)+0.06x=0.05(200+x)

Solution for 0.03(200)+0.06x=0.05(200+x) equation:

Simplifying
0.03(200) + 0.06x = 0.05(200 + x)

Multiply 0.03 * 200
6 + 0.06x = 0.05(200 + x)
6 + 0.06x = (200 * 0.05 + x * 0.05)
6 + 0.06x = (10 + 0.05x)

Solving
6 + 0.06x = 10 + 0.05x

Solving for variable 'x'.

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

Add '-0.05x' to each side of the equation.
6 + 0.06x + -0.05x = 10 + 0.05x + -0.05x

Combine like terms: 0.06x + -0.05x = 0.01x
6 + 0.01x = 10 + 0.05x + -0.05x

Combine like terms: 0.05x + -0.05x = 0.00
6 + 0.01x = 10 + 0.00
6 + 0.01x = 10

Add '-6' to each side of the equation.
6 + -6 + 0.01x = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 0.01x = 10 + -6
0.01x = 10 + -6

Combine like terms: 10 + -6 = 4
0.01x = 4

Divide each side by '0.01'.
x = 400

Simplifying
x = 400