Solve 6(6.5x+0.25)-380.22=0.7x+0.45

$$6 ( 6.5 x + 0.25 ) - 380.22 = 0.7 x + 0.45$$

Solve for x

$$x=9.9$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by 6.5x+0.25.

$$39x+1.5-380.22=0.7x+0.45$$

Subtract 380.22 from 1.5 to get -378.72.

$$39x-378.72=0.7x+0.45$$

Subtract 0.7x from both sides.

$$39x-378.72-0.7x=0.45$$

Combine 39x and -0.7x to get 38.3x.

$$38.3x-378.72=0.45$$

Add 378.72 to both sides.

$$38.3x=0.45+378.72$$

Add 0.45 and 378.72 to get 379.17.

$$38.3x=379.17$$

Divide both sides by 38.3.

$$x=\frac{379.17}{38.3}$$

Expand \frac{379.17}{38.3} by multiplying both numerator and the denominator by 100.

$$x=\frac{37917}{3830}$$

Reduce the fraction \frac{37917}{3830} to lowest terms by extracting and canceling out 383.

$$x=\frac{99}{10}$$