Solve 7w-8/6=4-9w+3/7

$$\frac { 7 w - 8 } { 6 } = 4 - \frac { 9 w + 3 } { 7 }$$

Solve for w

$$w=2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 42, the least common multiple of 6,7.

$$7\left(7w-8\right)=168-6\left(9w+3\right)$$

Use the distributive property to multiply 7 by 7w-8.

$$49w-56=168-6\left(9w+3\right)$$

Use the distributive property to multiply -6 by 9w+3.

$$49w-56=168-54w-18$$

Subtract 18 from 168 to get 150.

$$49w-56=150-54w$$

Add 54w to both sides.

$$49w-56+54w=150$$

Combine 49w and 54w to get 103w.

$$103w-56=150$$

Add 56 to both sides.

$$103w=150+56$$

Add 150 and 56 to get 206.

$$103w=206$$

Divide both sides by 103.

$$w=\frac{206}{103}$$

Divide 206 by 103 to get 2.

$$w=2$$