Solve 4/5x-5=-7/5x+50=

$$\frac { 4 } { 5 } x - 5 = \frac { - 7 } { 5 } x + 50 =$$

Solve for x

$$x=25$$

Steps for Solving Linear Equation

Fraction \frac{-7}{5} can be rewritten as -\frac{7}{5} by extracting the negative sign.

$$\frac{4}{5}x-5=-\frac{7}{5}x+50$$

Add \frac{7}{5}x to both sides.

$$\frac{4}{5}x-5+\frac{7}{5}x=50$$

Combine \frac{4}{5}x and \frac{7}{5}x to get \frac{11}{5}x.

$$\frac{11}{5}x-5=50$$

Add 5 to both sides.

$$\frac{11}{5}x=50+5$$

Add 50 and 5 to get 55.

$$\frac{11}{5}x=55$$

Multiply both sides by \frac{5}{11}, the reciprocal of \frac{11}{5}.

$$x=55\times \frac{5}{11}$$

Express 55\times \frac{5}{11} as a single fraction.

$$x=\frac{55\times 5}{11}$$

Multiply 55 and 5 to get 275.

$$x=\frac{275}{11}$$

Divide 275 by 11 to get 25.

$$x=25$$