Solve 1100%x+1500%(x+900)=213

$$1100 \% x + 1500 \% ( x + 900 ) = 213$$

Solve for x

$$x = -\frac{13287}{26} = -511\frac{1}{26} \approx -511.038461538$$

Steps for Solving Linear Equation

Divide 1100 by 100 to get 11.

$$11x+\frac{1500}{100}\left(x+900\right)=213$$

Divide 1500 by 100 to get 15.

$$11x+15\left(x+900\right)=213$$

Use the distributive property to multiply 15 by x+900.

$$11x+15x+13500=213$$

Combine 11x and 15x to get 26x.

$$26x+13500=213$$

Subtract 13500 from both sides.

$$26x=213-13500$$

Subtract 13500 from 213 to get -13287.

$$26x=-13287$$

Divide both sides by 26.

$$x=\frac{-13287}{26}$$

Fraction \frac{-13287}{26} can be rewritten as -\frac{13287}{26} by extracting the negative sign.

$$x=-\frac{13287}{26}$$