Solve x-4/7=1651/112-33/8x

$$x - \frac { 4 } { 7 } = \frac { 1651 } { 112 } - 3 \frac { 3 } { 8 } x$$

Solve for x

$$x = \frac{7}{2} = 3\frac{1}{2} = 3.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 112, the least common multiple of 7,112,8.

$$112x-64=1651-14\left(3\times 8+3\right)x$$

Multiply 3 and 8 to get 24.

$$112x-64=1651-14\left(24+3\right)x$$

Add 24 and 3 to get 27.

$$112x-64=1651-14\times 27x$$

Multiply 14 and 27 to get 378.

$$112x-64=1651-378x$$

Add 378x to both sides.

$$112x-64+378x=1651$$

Combine 112x and 378x to get 490x.

$$490x-64=1651$$

Add 64 to both sides.

$$490x=1651+64$$

Add 1651 and 64 to get 1715.

$$490x=1715$$

Divide both sides by 490.

$$x=\frac{1715}{490}$$

Reduce the fraction \frac{1715}{490} to lowest terms by extracting and canceling out 245.

$$x=\frac{7}{2}$$