Solve (x+13)/16+(21-2x)/4=1

$$\frac { ( x + 13 ) } { 16 } + \frac { ( 21 - 2 x ) } { 4 } = 1$$

Solve for x

$$x = \frac{81}{7} = 11\frac{4}{7} \approx 11.571428571$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 16, the least common multiple of 16,4.

$$x+13+4\left(21-2x\right)=16$$

Use the distributive property to multiply 4 by 21-2x.

$$x+13+84-8x=16$$

Add 13 and 84 to get 97.

$$x+97-8x=16$$

Combine x and -8x to get -7x.

$$-7x+97=16$$

Subtract 97 from both sides.

$$-7x=16-97$$

Subtract 97 from 16 to get -81.

$$-7x=-81$$

Divide both sides by -7.

$$x=\frac{-81}{-7}$$

Fraction \frac{-81}{-7} can be simplified to \frac{81}{7} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{81}{7}$$