Solve 3/4w+8=1/3w-7?

$$\frac { 3 } { 4 } w + 8 = \frac { 1 } { 3 } w - 7 ?$$

Solve for w

$$w=-36$$

Steps for Solving Linear Equation

Subtract \frac{1}{3}w from both sides.

$$\frac{3}{4}w+8-\frac{1}{3}w=-7$$

Combine \frac{3}{4}w and -\frac{1}{3}w to get \frac{5}{12}w.

$$\frac{5}{12}w+8=-7$$

Subtract 8 from both sides.

$$\frac{5}{12}w=-7-8$$

Subtract 8 from -7 to get -15.

$$\frac{5}{12}w=-15$$

Multiply both sides by \frac{12}{5}, the reciprocal of \frac{5}{12}.

$$w=-15\times \frac{12}{5}$$

Express -15\times \frac{12}{5} as a single fraction.

$$w=\frac{-15\times 12}{5}$$

Multiply -15 and 12 to get -180.

$$w=\frac{-180}{5}$$

Divide -180 by 5 to get -36.

$$w=-36$$