Solve -4.8(x-7)=0.33x+2.82

$$-4.8(x-7)=0.33x+2.82$$

Solve for x

$$x=6$$

Steps for Solving Linear Equation

Use the distributive property to multiply -4.8 by x-7.

$$-4.8x+33.6=0.33x+2.82$$

Subtract 0.33x from both sides.

$$-4.8x+33.6-0.33x=2.82$$

Combine -4.8x and -0.33x to get -5.13x.

$$-5.13x+33.6=2.82$$

Subtract 33.6 from both sides.

$$-5.13x=2.82-33.6$$

Subtract 33.6 from 2.82 to get -30.78.

$$-5.13x=-30.78$$

Divide both sides by -5.13.

$$x=\frac{-30.78}{-5.13}$$

Expand \frac{-30.78}{-5.13} by multiplying both numerator and the denominator by 100.

$$x=\frac{-3078}{-513}$$

Divide -3078 by -513 to get 6.

$$x=6$$