Solve 25x+1/5x-(12+3)*6=22

$$25 x + \frac { 1 } { 5 } x - ( 12 + 3 ) \times 6 = 22$$

Solve for x

$$x = \frac{40}{9} = 4\frac{4}{9} \approx 4.444444444$$

Steps for Solving Linear Equation

Combine 25x and \frac{1}{5}x to get \frac{126}{5}x.

$$\frac{126}{5}x-\left(12+3\right)\times 6=22$$

Add 12 and 3 to get 15.

$$\frac{126}{5}x-15\times 6=22$$

Multiply 15 and 6 to get 90.

$$\frac{126}{5}x-90=22$$

Add 90 to both sides.

$$\frac{126}{5}x=22+90$$

Add 22 and 90 to get 112.

$$\frac{126}{5}x=112$$

Multiply both sides by \frac{5}{126}, the reciprocal of \frac{126}{5}.

$$x=112\times \frac{5}{126}$$

Express 112\times \frac{5}{126} as a single fraction.

$$x=\frac{112\times 5}{126}$$

Multiply 112 and 5 to get 560.

$$x=\frac{560}{126}$$

Reduce the fraction \frac{560}{126} to lowest terms by extracting and canceling out 14.

$$x=\frac{40}{9}$$