15+12(9+x)=32+1.4(33+x)

Solution for 15+12(9+x)=32+1.4(33+x) equation:

Simplifying
15 + 12(9 + x) = 32 + 1.4(33 + x)
15 + (9 * 12 + x * 12) = 32 + 1.4(33 + x)
15 + (108 + 12x) = 32 + 1.4(33 + x)

Combine like terms: 15 + 108 = 123
123 + 12x = 32 + 1.4(33 + x)
123 + 12x = 32 + (33 * 1.4 + x * 1.4)
123 + 12x = 32 + (46.2 + 1.4x)

Combine like terms: 32 + 46.2 = 78.2
123 + 12x = 78.2 + 1.4x

Solving
123 + 12x = 78.2 + 1.4x

Solving for variable 'x'.

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

Add '-1.4x' to each side of the equation.
123 + 12x + -1.4x = 78.2 + 1.4x + -1.4x

Combine like terms: 12x + -1.4x = 10.6x
123 + 10.6x = 78.2 + 1.4x + -1.4x

Combine like terms: 1.4x + -1.4x = 0.0
123 + 10.6x = 78.2 + 0.0
123 + 10.6x = 78.2

Add '-123' to each side of the equation.
123 + -123 + 10.6x = 78.2 + -123

Combine like terms: 123 + -123 = 0
0 + 10.6x = 78.2 + -123
10.6x = 78.2 + -123

Combine like terms: 78.2 + -123 = -44.8
10.6x = -44.8

Divide each side by '10.6'.
x = -4.226415094

Simplifying
x = -4.226415094