Solve 3(x+1)/2+5(x+1)/3=4

$$\frac { 3 ( x + 1 ) } { 2 } + \frac { 5 ( x + 1 ) } { 3 } = 4$$

Solve for x

$$x=\frac{5}{19}\approx 0.263157895$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3.

$$3\times 3\left(x+1\right)+2\times 5\left(x+1\right)=24$$

Multiply 3 and 3 to get 9.

$$9\left(x+1\right)+2\times 5\left(x+1\right)=24$$

Use the distributive property to multiply 9 by x+1.

$$9x+9+2\times 5\left(x+1\right)=24$$

Multiply 2 and 5 to get 10.

$$9x+9+10\left(x+1\right)=24$$

Use the distributive property to multiply 10 by x+1.

$$9x+9+10x+10=24$$

Combine 9x and 10x to get 19x.

$$19x+9+10=24$$

Add 9 and 10 to get 19.

$$19x+19=24$$

Subtract 19 from both sides.

$$19x=24-19$$

Subtract 19 from 24 to get 5.

$$19x=5$$

Divide both sides by 19.

$$x=\frac{5}{19}$$