Solve 3(8b-60)=-3(120-4b)

$$3 ( 8 b - 60 ) = - 3 ( 120 - 4 b )$$

Solve for b

$$b=-15$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 8b-60.

$$24b-180=-3\left(120-4b\right)$$

Use the distributive property to multiply -3 by 120-4b.

$$24b-180=-360+12b$$

Subtract 12b from both sides.

$$24b-180-12b=-360$$

Combine 24b and -12b to get 12b.

$$12b-180=-360$$

Add 180 to both sides.

$$12b=-360+180$$

Add -360 and 180 to get -180.

$$12b=-180$$

Divide both sides by 12.

$$b=\frac{-180}{12}$$

Divide -180 by 12 to get -15.

$$b=-15$$