Solve -73/5x*5+b=72

$$- 7 \frac { 3 } { 5 } x \cdot 5 + b = 72$$

Solve for b

$$b=38x+72$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 5.

$$5\left(-\frac{7\times 5+3}{5}\right)x\times 5+5b=360$$

Multiply 7 and 5 to get 35.

$$5\left(-\frac{35+3}{5}\right)x\times 5+5b=360$$

Add 35 and 3 to get 38.

$$5\left(-\frac{38}{5}\right)x\times 5+5b=360$$

Multiply 5 and -\frac{38}{5} to get -38.

$$-38x\times 5+5b=360$$

Multiply -38 and 5 to get -190.

$$-190x+5b=360$$

Add 190x to both sides.

$$5b=360+190x$$

The equation is in standard form.

$$5b=190x+360$$

Divide both sides by 5.

$$\frac{5b}{5}=\frac{190x+360}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$b=\frac{190x+360}{5}$$

Divide 360+190x by 5.

$$b=38x+72$$

Solve for x

$$x=\frac{b-72}{38}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 5.

$$5\left(-\frac{7\times 5+3}{5}\right)x\times 5+5b=360$$

Multiply 7 and 5 to get 35.

$$5\left(-\frac{35+3}{5}\right)x\times 5+5b=360$$

Add 35 and 3 to get 38.

$$5\left(-\frac{38}{5}\right)x\times 5+5b=360$$

Multiply 5 and -\frac{38}{5} to get -38.

$$-38x\times 5+5b=360$$

Multiply -38 and 5 to get -190.

$$-190x+5b=360$$

Subtract 5b from both sides.

$$-190x=360-5b$$

Divide both sides by -190.

$$\frac{-190x}{-190}=\frac{360-5b}{-190}$$

Dividing by -190 undoes the multiplication by -190.

$$x=\frac{360-5b}{-190}$$

Divide 360-5b by -190.

$$x=\frac{b}{38}-\frac{36}{19}$$