Solve x+6/40%=x/30%

$$\frac { x + 6 } { 40 \% } = \frac { x } { 30 \% }$$

Solve for x

$$x=18$$

Steps for Solving Linear Equation

Divide x+6 by \frac{40}{100} by multiplying x+6 by the reciprocal of \frac{40}{100}.

$$\frac{\left(x+6\right)\times 100}{40}=\frac{x}{\frac{30}{100}}$$

Divide \left(x+6\right)\times 100 by 40 to get \left(x+6\right)\times \frac{5}{2}.

$$\left(x+6\right)\times \frac{5}{2}=\frac{x}{\frac{30}{100}}$$

Use the distributive property to multiply x+6 by \frac{5}{2}.

$$x\times \frac{5}{2}+6\times \frac{5}{2}=\frac{x}{\frac{30}{100}}$$

Express 6\times \frac{5}{2} as a single fraction.

$$x\times \frac{5}{2}+\frac{6\times 5}{2}=\frac{x}{\frac{30}{100}}$$

Multiply 6 and 5 to get 30.

$$x\times \frac{5}{2}+\frac{30}{2}=\frac{x}{\frac{30}{100}}$$

Divide 30 by 2 to get 15.

$$x\times \frac{5}{2}+15=\frac{x}{\frac{30}{100}}$$

Divide x by \frac{30}{100} by multiplying x by the reciprocal of \frac{30}{100}.

$$x\times \frac{5}{2}+15=\frac{x\times 100}{30}$$

Divide x\times 100 by 30 to get x\times \frac{10}{3}.

$$x\times \frac{5}{2}+15=x\times \frac{10}{3}$$

Subtract x\times \frac{10}{3} from both sides.

$$x\times \frac{5}{2}+15-x\times \frac{10}{3}=0$$

Combine x\times \frac{5}{2} and -x\times \frac{10}{3} to get -\frac{5}{6}x.

$$-\frac{5}{6}x+15=0$$

Subtract 15 from both sides. Anything subtracted from zero gives its negation.

$$-\frac{5}{6}x=-15$$

Multiply both sides by -\frac{6}{5}, the reciprocal of -\frac{5}{6}.

$$x=-15\left(-\frac{6}{5}\right)$$

Express -15\left(-\frac{6}{5}\right) as a single fraction.

$$x=\frac{-15\left(-6\right)}{5}$$

Multiply -15 and -6 to get 90.

$$x=\frac{90}{5}$$

Divide 90 by 5 to get 18.

$$x=18$$