0.7(x+90)+0.1x=79

Solution for 0.7(x+90)+0.1x=79 equation:

Simplifying
0.7(x + 90) + 0.1x = 79

Reorder the terms:
0.7(90 + x) + 0.1x = 79
(90 * 0.7 + x * 0.7) + 0.1x = 79
(63 + 0.7x) + 0.1x = 79

Combine like terms: 0.7x + 0.1x = 0.8x
63 + 0.8x = 79

Solving
63 + 0.8x = 79

Solving for variable 'x'.

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

Add '-63' to each side of the equation.
63 + -63 + 0.8x = 79 + -63

Combine like terms: 63 + -63 = 0
0 + 0.8x = 79 + -63
0.8x = 79 + -63

Combine like terms: 79 + -63 = 16
0.8x = 16

Divide each side by '0.8'.
x = 20

Simplifying
x = 20