Solve 3x+16/7+2x+7/3=2x+1

$$\frac { 3 x + 16 } { 7 } + \frac { 2 x + 7 } { 3 } = 2 x + 1$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 21, the least common multiple of 7,3.

$$3\left(3x+16\right)+7\left(2x+7\right)=42x+21$$

Use the distributive property to multiply 3 by 3x+16.

$$9x+48+7\left(2x+7\right)=42x+21$$

Use the distributive property to multiply 7 by 2x+7.

$$9x+48+14x+49=42x+21$$

Combine 9x and 14x to get 23x.

$$23x+48+49=42x+21$$

Add 48 and 49 to get 97.

$$23x+97=42x+21$$

Subtract 42x from both sides.

$$23x+97-42x=21$$

Combine 23x and -42x to get -19x.

$$-19x+97=21$$

Subtract 97 from both sides.

$$-19x=21-97$$

Subtract 97 from 21 to get -76.

$$-19x=-76$$

Divide both sides by -19.

$$x=\frac{-76}{-19}$$

Divide -76 by -19 to get 4.

$$x=4$$