Solve x=50(x+36)/80

$$x = \frac { 50 ( x + 36 ) } { 80 }$$

Solve for x

$$x=60$$

Steps for Solving Linear Equation

Use the distributive property to multiply 50 by x+36.

$$x=\frac{50x+1800}{80}$$

Divide each term of 50x+1800 by 80 to get \frac{5}{8}x+\frac{45}{2}.

$$x=\frac{5}{8}x+\frac{45}{2}$$

Subtract \frac{5}{8}x from both sides.

$$x-\frac{5}{8}x=\frac{45}{2}$$

Combine x and -\frac{5}{8}x to get \frac{3}{8}x.

$$\frac{3}{8}x=\frac{45}{2}$$

Multiply both sides by \frac{8}{3}, the reciprocal of \frac{3}{8}.

$$x=\frac{45}{2}\times \frac{8}{3}$$

Multiply \frac{45}{2} times \frac{8}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{45\times 8}{2\times 3}$$

Do the multiplications in the fraction \frac{45\times 8}{2\times 3}.

$$x=\frac{360}{6}$$

Divide 360 by 6 to get 60.

$$x=60$$