Solve 234-315/7243*3x=5x+7*22/4

$$\frac { 234 - 315 } { 7243 } \cdot 3 x = 5 x + 7 \cdot \frac { 22 } { 4 }$$

Solve for x

$$x = -\frac{557711}{72916} = -7\frac{47299}{72916} \approx -7.648677931$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 28972, the least common multiple of 7243,4.

$$4\left(234-315\right)\times 3x=144860x+50701\times 22$$

Subtract 315 from 234 to get -81.

$$4\left(-81\right)\times 3x=144860x+50701\times 22$$

Multiply 4 and -81 to get -324.

$$-324\times 3x=144860x+50701\times 22$$

Multiply -324 and 3 to get -972.

$$-972x=144860x+50701\times 22$$

Multiply 50701 and 22 to get 1115422.

$$-972x=144860x+1115422$$

Subtract 144860x from both sides.

$$-972x-144860x=1115422$$

Combine -972x and -144860x to get -145832x.

$$-145832x=1115422$$

Divide both sides by -145832.

$$x=\frac{1115422}{-145832}$$

Reduce the fraction \frac{1115422}{-145832} to lowest terms by extracting and canceling out 2.

$$x=-\frac{557711}{72916}$$