Solve 4=-3/7x-7+b

$$4 = - \frac { 3 } { 7 } x - 7 + b$$

Solve for b

$$b=\frac{3x}{7}+11$$

Solution Steps

Swap sides so that all variable terms are on the left hand side.

$$-\frac{3}{7}x-7+b=4$$

Add \frac{3}{7}x to both sides.

$$-7+b=4+\frac{3}{7}x$$

Add 7 to both sides.

$$b=4+\frac{3}{7}x+7$$

Add 4 and 7 to get 11.

$$b=11+\frac{3}{7}x$$

Solve for x

$$x=\frac{7\left(b-11\right)}{3}$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$-\frac{3}{7}x-7+b=4$$

Add 7 to both sides.

$$-\frac{3}{7}x+b=4+7$$

Add 4 and 7 to get 11.

$$-\frac{3}{7}x+b=11$$

Subtract b from both sides.

$$-\frac{3}{7}x=11-b$$

Divide both sides of the equation by -\frac{3}{7}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{3}{7}x}{-\frac{3}{7}}=\frac{11-b}{-\frac{3}{7}}$$

Dividing by -\frac{3}{7} undoes the multiplication by -\frac{3}{7}.

$$x=\frac{11-b}{-\frac{3}{7}}$$

Divide 11-b by -\frac{3}{7} by multiplying 11-b by the reciprocal of -\frac{3}{7}.

$$x=\frac{7b-77}{3}$$