Solve 37/8-(x-31/8)=3/16

$$3 \frac { 7 } { 8 } - ( x - 3 \frac { 1 } { 8 } ) = \frac { 3 } { 16 }$$

Solve for x

$$x = \frac{109}{16} = 6\frac{13}{16} = 6.8125$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 16, the least common multiple of 8,16.

$$2\left(3\times 8+7\right)-16\left(x-\frac{3\times 8+1}{8}\right)=3$$

Multiply 3 and 8 to get 24.

$$2\left(24+7\right)-16\left(x-\frac{3\times 8+1}{8}\right)=3$$

Add 24 and 7 to get 31.

$$2\times 31-16\left(x-\frac{3\times 8+1}{8}\right)=3$$

Multiply 2 and 31 to get 62.

$$62-16\left(x-\frac{3\times 8+1}{8}\right)=3$$

Multiply 3 and 8 to get 24.

$$62-16\left(x-\frac{24+1}{8}\right)=3$$

Add 24 and 1 to get 25.

$$62-16\left(x-\frac{25}{8}\right)=3$$

Use the distributive property to multiply -16 by x-\frac{25}{8}.

$$62-16x-16\left(-\frac{25}{8}\right)=3$$

Express -16\left(-\frac{25}{8}\right) as a single fraction.

$$62-16x+\frac{-16\left(-25\right)}{8}=3$$

Multiply -16 and -25 to get 400.

$$62-16x+\frac{400}{8}=3$$

Divide 400 by 8 to get 50.

$$62-16x+50=3$$

Add 62 and 50 to get 112.

$$112-16x=3$$

Subtract 112 from both sides.

$$-16x=3-112$$

Subtract 112 from 3 to get -109.

$$-16x=-109$$

Divide both sides by -16.

$$x=\frac{-109}{-16}$$

Fraction \frac{-109}{-16} can be simplified to \frac{109}{16} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{109}{16}$$