6+x=0.35(30+x)

Solution for 6+x=0.35(30+x) equation:

Simplifying
6 + x = 0.35(30 + x)
6 + x = (30 * 0.35 + x * 0.35)
6 + x = (10.5 + 0.35x)

Solving
6 + x = 10.5 + 0.35x

Solving for variable 'x'.

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

Add '-0.35x' to each side of the equation.
6 + x + -0.35x = 10.5 + 0.35x + -0.35x

Combine like terms: x + -0.35x = 0.65x
6 + 0.65x = 10.5 + 0.35x + -0.35x

Combine like terms: 0.35x + -0.35x = 0.00
6 + 0.65x = 10.5 + 0.00
6 + 0.65x = 10.5

Add '-6' to each side of the equation.
6 + -6 + 0.65x = 10.5 + -6

Combine like terms: 6 + -6 = 0
0 + 0.65x = 10.5 + -6
0.65x = 10.5 + -6

Combine like terms: 10.5 + -6 = 4.5
0.65x = 4.5

Divide each side by '0.65'.
x = 6.923076923

Simplifying
x = 6.923076923