Solve 0.92x+6.6096=0.8(x+8.4)

$$0.92 x + 6.6096 = 0.8 ( x + 8.4 )$$

Solve for x

$$x=0.92$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.8 by x+8.4.

$$0.92x+6.6096=0.8x+6.72$$

Subtract 0.8x from both sides.

$$0.92x+6.6096-0.8x=6.72$$

Combine 0.92x and -0.8x to get 0.12x.

$$0.12x+6.6096=6.72$$

Subtract 6.6096 from both sides.

$$0.12x=6.72-6.6096$$

Subtract 6.6096 from 6.72 to get 0.1104.

$$0.12x=0.1104$$

Divide both sides by 0.12.

$$x=\frac{0.1104}{0.12}$$

Expand \frac{0.1104}{0.12} by multiplying both numerator and the denominator by 10000.

$$x=\frac{1104}{1200}$$

Reduce the fraction \frac{1104}{1200} to lowest terms by extracting and canceling out 48.

$$x=\frac{23}{25}$$