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

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

Solve for x

$$x=200$$

Steps for Solving Linear Equation

Combine 0.85x and -x to get -0.15x.

$$\left(-0.15x+45\right)\times 8=12\left(45-35\right)$$

Use the distributive property to multiply -0.15x+45 by 8.

$$-1.2x+360=12\left(45-35\right)$$

Subtract 35 from 45 to get 10.

$$-1.2x+360=12\times 10$$

Multiply 12 and 10 to get 120.

$$-1.2x+360=120$$

Subtract 360 from both sides.

$$-1.2x=120-360$$

Subtract 360 from 120 to get -240.

$$-1.2x=-240$$

Divide both sides by -1.2.

$$x=\frac{-240}{-1.2}$$

Expand \frac{-240}{-1.2} by multiplying both numerator and the denominator by 10.

$$x=\frac{-2400}{-12}$$

Divide -2400 by -12 to get 200.

$$x=200$$