Solve 5x-2/6-4x+1/12=3x+5/18

$$\frac{ 5x-2 }{ 6 } - \frac{ 4x+1 }{ 12 } = \frac{ 3x+5 }{ 18 }$$

Solve for x

$$x = \frac{25}{12} = 2\frac{1}{12} \approx 2.083333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 36, the least common multiple of 6,12,18.

$$6\left(5x-2\right)-3\left(4x+1\right)=2\left(3x+5\right)$$

Use the distributive property to multiply 6 by 5x-2.

$$30x-12-3\left(4x+1\right)=2\left(3x+5\right)$$

Use the distributive property to multiply -3 by 4x+1.

$$30x-12-12x-3=2\left(3x+5\right)$$

Combine 30x and -12x to get 18x.

$$18x-12-3=2\left(3x+5\right)$$

Subtract 3 from -12 to get -15.

$$18x-15=2\left(3x+5\right)$$

Use the distributive property to multiply 2 by 3x+5.

$$18x-15=6x+10$$

Subtract 6x from both sides.

$$18x-15-6x=10$$

Combine 18x and -6x to get 12x.

$$12x-15=10$$

Add 15 to both sides.

$$12x=10+15$$

Add 10 and 15 to get 25.

$$12x=25$$

Divide both sides by 12.

$$x=\frac{25}{12}$$