0.2(x+0.07x)+(x+0.07x)=50

Solution for 0.2(x+0.07x)+(x+0.07x)=50 equation:

Simplifying
0.2(x + 0.07x) + (x + 0.07x) = 50

Combine like terms: x + 0.07x = 1.07x
0.2(1.07x) + (x + 0.07x) = 50

Remove parenthesis around (1.07x)
0.2 * 1.07x + (x + 0.07x) = 50

Multiply 0.2 * 1.07
0.214x + (x + 0.07x) = 50

Combine like terms: x + 0.07x = 1.07x
0.214x + (1.07x) = 50
0.214x + (1.07x) = 50

Combine like terms: 0.214x + (1.07x) = 1.284x
1.284x = 50

Solving
1.284x = 50

Solving for variable 'x'.

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

Divide each side by '1.284'.
x = 38.94080997

Simplifying
x = 38.94080997