0.70x+6=0.55(x+30)

Solution for 0.70x+6=0.55(x+30) equation:

Simplifying
0.70x + 6 = 0.55(x + 30)

Reorder the terms:
6 + 0.70x = 0.55(x + 30)

Reorder the terms:
6 + 0.70x = 0.55(30 + x)
6 + 0.70x = (30 * 0.55 + x * 0.55)
6 + 0.70x = (16.5 + 0.55x)

Solving
6 + 0.70x = 16.5 + 0.55x

Solving for variable 'x'.

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

Add '-0.55x' to each side of the equation.
6 + 0.70x + -0.55x = 16.5 + 0.55x + -0.55x

Combine like terms: 0.70x + -0.55x = 0.15x
6 + 0.15x = 16.5 + 0.55x + -0.55x

Combine like terms: 0.55x + -0.55x = 0.00
6 + 0.15x = 16.5 + 0.00
6 + 0.15x = 16.5

Add '-6' to each side of the equation.
6 + -6 + 0.15x = 16.5 + -6

Combine like terms: 6 + -6 = 0
0 + 0.15x = 16.5 + -6
0.15x = 16.5 + -6

Combine like terms: 16.5 + -6 = 10.5
0.15x = 10.5

Divide each side by '0.15'.
x = 70

Simplifying
x = 70