Solve 50.7+x/200+x=46/100+40

$$\frac { 50.7 + x } { 200 + x } = \frac { 46 } { 100 + 40 }$$

Solve for x

$$x = \frac{1051}{47} = 22\frac{17}{47} \approx 22.361702128$$

Steps for Solving Linear Equation

Variable x cannot be equal to -200 since division by zero is not defined. Multiply both sides of the equation by x+200.

$$50.7+x=\left(\frac{1}{140}x+\frac{10}{7}\right)\times 46$$

Use the distributive property to multiply \frac{1}{140}x+\frac{10}{7} by 46.

$$50.7+x=\frac{23}{70}x+\frac{460}{7}$$

Subtract \frac{23}{70}x from both sides.

$$50.7+x-\frac{23}{70}x=\frac{460}{7}$$

Combine x and -\frac{23}{70}x to get \frac{47}{70}x.

$$50.7+\frac{47}{70}x=\frac{460}{7}$$

Subtract 50.7 from both sides.

$$\frac{47}{70}x=\frac{460}{7}-50.7$$

Subtract 50.7 from \frac{460}{7} to get \frac{1051}{70}.

$$\frac{47}{70}x=\frac{1051}{70}$$

Multiply both sides by \frac{70}{47}, the reciprocal of \frac{47}{70}.

$$x=\frac{1051}{70}\times \frac{70}{47}$$

Multiply \frac{1051}{70} and \frac{70}{47} to get \frac{1051}{47}.

$$x=\frac{1051}{47}$$