Solve (350:b+10)*7=560

$$( 350 : b + 10 ) \cdot 7 = 560$$

Solve for b

$$b=5$$

Steps for Solving Linear Equation

Divide both sides by 7.

$$\frac{350}{b}+10=\frac{560}{7}$$

Divide 560 by 7 to get 80.

$$\frac{350}{b}+10=80$$

Variable b cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by b.

$$350+b\times 10=80b$$

Subtract 80b from both sides.

$$350+b\times 10-80b=0$$

Combine b\times 10 and -80b to get -70b.

$$350-70b=0$$

Subtract 350 from both sides. Anything subtracted from zero gives its negation.

$$-70b=-350$$

Divide both sides by -70.

$$b=\frac{-350}{-70}$$

Divide -350 by -70 to get 5.

$$b=5$$