Solve 0.1(130+x)=0.18(80+x)

$$0.1 ( 130 + x ) = 0.18 ( 80 + x )$$

Solve for x

$$x=-17.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.1 by 130+x.

$$13+0.1x=0.18\left(80+x\right)$$

Use the distributive property to multiply 0.18 by 80+x.

$$13+0.1x=14.4+0.18x$$

Subtract 0.18x from both sides.

$$13+0.1x-0.18x=14.4$$

Combine 0.1x and -0.18x to get -0.08x.

$$13-0.08x=14.4$$

Subtract 13 from both sides.

$$-0.08x=14.4-13$$

Subtract 13 from 14.4 to get 1.4.

$$-0.08x=1.4$$

Divide both sides by -0.08.

$$x=\frac{1.4}{-0.08}$$

Expand \frac{1.4}{-0.08} by multiplying both numerator and the denominator by 100.

$$x=\frac{140}{-8}$$

Reduce the fraction \frac{140}{-8} to lowest terms by extracting and canceling out 4.

$$x=-\frac{35}{2}$$