Solve 7x-1/6+2x=16-x/5

$$\frac { 7 x - 1 } { 6 } + 2 x = \frac { 16 - x } { 5 }$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 6,5.

$$5\left(7x-1\right)+60x=6\left(16-x\right)$$

Use the distributive property to multiply 5 by 7x-1.

$$35x-5+60x=6\left(16-x\right)$$

Combine 35x and 60x to get 95x.

$$95x-5=6\left(16-x\right)$$

Use the distributive property to multiply 6 by 16-x.

$$95x-5=96-6x$$

Add 6x to both sides.

$$95x-5+6x=96$$

Combine 95x and 6x to get 101x.

$$101x-5=96$$

Add 5 to both sides.

$$101x=96+5$$

Add 96 and 5 to get 101.

$$101x=101$$

Divide both sides by 101.

$$x=\frac{101}{101}$$

Divide 101 by 101 to get 1.

$$x=1$$