Solve .01*90+0.9*x=.07(90+x)

$$.01 \times 90+0.9 \times x=.07(90+x)$$

Solve for x

$$x = \frac{540}{83} = 6\frac{42}{83} \approx 6.506024096$$

Steps for Solving Linear Equation

Multiply 0.01 and 90 to get 0.9.

$$0.9+0.9x=0.07\left(90+x\right)$$

Use the distributive property to multiply 0.07 by 90+x.

$$0.9+0.9x=6.3+0.07x$$

Subtract 0.07x from both sides.

$$0.9+0.9x-0.07x=6.3$$

Combine 0.9x and -0.07x to get 0.83x.

$$0.9+0.83x=6.3$$

Subtract 0.9 from both sides.

$$0.83x=6.3-0.9$$

Subtract 0.9 from 6.3 to get 5.4.

$$0.83x=5.4$$

Divide both sides by 0.83.

$$x=\frac{5.4}{0.83}$$

Expand \frac{5.4}{0.83} by multiplying both numerator and the denominator by 100.

$$x=\frac{540}{83}$$