Solve 2(x+1)/3=5(x+1)/6-1

$$\frac { 2 ( x + 1 ) } { 3 } = \frac { 5 ( x + 1 ) } { 6 } - 1$$

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,6.

$$2\times 2\left(x+1\right)=5\left(x+1\right)-6$$

Multiply 2 and 2 to get 4.

$$4\left(x+1\right)=5\left(x+1\right)-6$$

Use the distributive property to multiply 4 by x+1.

$$4x+4=5\left(x+1\right)-6$$

Use the distributive property to multiply 5 by x+1.

$$4x+4=5x+5-6$$

Subtract 6 from 5 to get -1.

$$4x+4=5x-1$$

Subtract 5x from both sides.

$$4x+4-5x=-1$$

Combine 4x and -5x to get -x.

$$-x+4=-1$$

Subtract 4 from both sides.

$$-x=-1-4$$

Subtract 4 from -1 to get -5.

$$-x=-5$$

Multiply both sides by -1.

$$x=5$$