Solve 0.85(x+45)*8=(x+45-35)*12

$$0.85(x+45) \times 8=(x+45-35) \times 12$$

Solve for x

$$x = \frac{465}{13} = 35\frac{10}{13} \approx 35.769230769$$

Steps for Solving Linear Equation

Multiply 0.85 and 8 to get 6.8.

$$6.8\left(x+45\right)=\left(x+45-35\right)\times 12$$

Use the distributive property to multiply 6.8 by x+45.

$$6.8x+306=\left(x+45-35\right)\times 12$$

Subtract 35 from 45 to get 10.

$$6.8x+306=\left(x+10\right)\times 12$$

Use the distributive property to multiply x+10 by 12.

$$6.8x+306=12x+120$$

Subtract 12x from both sides.

$$6.8x+306-12x=120$$

Combine 6.8x and -12x to get -5.2x.

$$-5.2x+306=120$$

Subtract 306 from both sides.

$$-5.2x=120-306$$

Subtract 306 from 120 to get -186.

$$-5.2x=-186$$

Divide both sides by -5.2.

$$x=\frac{-186}{-5.2}$$

Expand \frac{-186}{-5.2} by multiplying both numerator and the denominator by 10.

$$x=\frac{-1860}{-52}$$

Reduce the fraction \frac{-1860}{-52} to lowest terms by extracting and canceling out -4.

$$x=\frac{465}{13}$$