Solve 2+1/6=6+x/7

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

Solve for x

$$x = -\frac{5}{2} = -2\frac{1}{2} = -2.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 42, the least common multiple of 6,7.

$$7\left(2+1\right)=6\left(6+x\right)$$

Add 2 and 1 to get 3.

$$7\times 3=6\left(6+x\right)$$

Multiply 7 and 3 to get 21.

$$21=6\left(6+x\right)$$

Use the distributive property to multiply 6 by 6+x.

$$21=36+6x$$

Swap sides so that all variable terms are on the left hand side.

$$36+6x=21$$

Subtract 36 from both sides.

$$6x=21-36$$

Subtract 36 from 21 to get -15.

$$6x=-15$$

Divide both sides by 6.

$$x=\frac{-15}{6}$$

Reduce the fraction \frac{-15}{6} to lowest terms by extracting and canceling out 3.

$$x=-\frac{5}{2}$$