Solve =2x-10/20+4x+5/12=6

$$= \frac { 2 x - 10 } { 20 } + \frac { 4 x + 5 } { 12 } = 6$$

Solve for x

$$x = \frac{365}{26} = 14\frac{1}{26} \approx 14.038461538$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 60, the least common multiple of 20,12.

$$3\left(2x-10\right)+5\left(4x+5\right)=360$$

Use the distributive property to multiply 3 by 2x-10.

$$6x-30+5\left(4x+5\right)=360$$

Use the distributive property to multiply 5 by 4x+5.

$$6x-30+20x+25=360$$

Combine 6x and 20x to get 26x.

$$26x-30+25=360$$

Add -30 and 25 to get -5.

$$26x-5=360$$

Add 5 to both sides.

$$26x=360+5$$

Add 360 and 5 to get 365.

$$26x=365$$

Divide both sides by 26.

$$x=\frac{365}{26}$$