Solve 0.01left(x+28right)-0.28=0.01left(8x+28right)

$$0.01 \left( x+28 \right) -0.28 = 0.01 \left( 8x+28 \right)$$

Solve for x

$$x=-4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.01 by x+28.

$$0.01x+0.28-0.28=0.01\left(8x+28\right)$$

Subtract 0.28 from 0.28 to get 0.

$$0.01x=0.01\left(8x+28\right)$$

Use the distributive property to multiply 0.01 by 8x+28.

$$0.01x=0.08x+0.28$$

Subtract 0.08x from both sides.

$$0.01x-0.08x=0.28$$

Combine 0.01x and -0.08x to get -0.07x.

$$-0.07x=0.28$$

Divide both sides by -0.07.

$$x=\frac{0.28}{-0.07}$$

Expand \frac{0.28}{-0.07} by multiplying both numerator and the denominator by 100.

$$x=\frac{28}{-7}$$

Divide 28 by -7 to get -4.

$$x=-4$$