3(x+2)=0.55(2x+3)

Solution for 3(x+2)=0.55(2x+3) equation:

Simplifying
3(x + 2) = 0.55(2x + 3)

Reorder the terms:
3(2 + x) = 0.55(2x + 3)
(2 * 3 + x * 3) = 0.55(2x + 3)
(6 + 3x) = 0.55(2x + 3)

Reorder the terms:
6 + 3x = 0.55(3 + 2x)
6 + 3x = (3 * 0.55 + 2x * 0.55)
6 + 3x = (1.65 + 1.1x)

Solving
6 + 3x = 1.65 + 1.1x

Solving for variable 'x'.

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

Add '-1.1x' to each side of the equation.
6 + 3x + -1.1x = 1.65 + 1.1x + -1.1x

Combine like terms: 3x + -1.1x = 1.9x
6 + 1.9x = 1.65 + 1.1x + -1.1x

Combine like terms: 1.1x + -1.1x = 0.0
6 + 1.9x = 1.65 + 0.0
6 + 1.9x = 1.65

Add '-6' to each side of the equation.
6 + -6 + 1.9x = 1.65 + -6

Combine like terms: 6 + -6 = 0
0 + 1.9x = 1.65 + -6
1.9x = 1.65 + -6

Combine like terms: 1.65 + -6 = -4.35
1.9x = -4.35

Divide each side by '1.9'.
x = -2.289473684

Simplifying
x = -2.289473684