Solve x-1/3+2x+1/5=3x-1/4

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

Solve for x

$$x=7$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 60, the least common multiple of 3,5,4.

$$20\left(x-1\right)+12\left(2x+1\right)=15\left(3x-1\right)$$

Use the distributive property to multiply 20 by x-1.

$$20x-20+12\left(2x+1\right)=15\left(3x-1\right)$$

Use the distributive property to multiply 12 by 2x+1.

$$20x-20+24x+12=15\left(3x-1\right)$$

Combine 20x and 24x to get 44x.

$$44x-20+12=15\left(3x-1\right)$$

Add -20 and 12 to get -8.

$$44x-8=15\left(3x-1\right)$$

Use the distributive property to multiply 15 by 3x-1.

$$44x-8=45x-15$$

Subtract 45x from both sides.

$$44x-8-45x=-15$$

Combine 44x and -45x to get -x.

$$-x-8=-15$$

Add 8 to both sides.

$$-x=-15+8$$

Add -15 and 8 to get -7.

$$-x=-7$$

Multiply both sides by -1.

$$x=7$$