Solve 1.2(6x+6.6)+3.6=5.7(x+8.3)

$$1.2 ( 6 x + 6.6 ) + 3.6 = 5.7 ( x + 8.3 )$$

Solve for x

$$x=23.86$$

Steps for Solving Linear Equation

Use the distributive property to multiply 1.2 by 6x+6.6.

$$7.2x+7.92+3.6=5.7\left(x+8.3\right)$$

Add 7.92 and 3.6 to get 11.52.

$$7.2x+11.52=5.7\left(x+8.3\right)$$

Use the distributive property to multiply 5.7 by x+8.3.

$$7.2x+11.52=5.7x+47.31$$

Subtract 5.7x from both sides.

$$7.2x+11.52-5.7x=47.31$$

Combine 7.2x and -5.7x to get 1.5x.

$$1.5x+11.52=47.31$$

Subtract 11.52 from both sides.

$$1.5x=47.31-11.52$$

Subtract 11.52 from 47.31 to get 35.79.

$$1.5x=35.79$$

Divide both sides by 1.5.

$$x=\frac{35.79}{1.5}$$

Expand \frac{35.79}{1.5} by multiplying both numerator and the denominator by 100.

$$x=\frac{3579}{150}$$

Reduce the fraction \frac{3579}{150} to lowest terms by extracting and canceling out 3.

$$x=\frac{1193}{50}$$