Solve =2x-10/20+4x+5/13=6

$$= \frac { 2 x - 10 } { 20 } + \frac { 4 x + 5 } { 13 } = 6$$

Solve for x

$$x=15$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 260, the least common multiple of 20,13.

$$13\left(2x-10\right)+20\left(4x+5\right)=1560$$

Use the distributive property to multiply 13 by 2x-10.

$$26x-130+20\left(4x+5\right)=1560$$

Use the distributive property to multiply 20 by 4x+5.

$$26x-130+80x+100=1560$$

Combine 26x and 80x to get 106x.

$$106x-130+100=1560$$

Add -130 and 100 to get -30.

$$106x-30=1560$$

Add 30 to both sides.

$$106x=1560+30$$

Add 1560 and 30 to get 1590.

$$106x=1590$$

Divide both sides by 106.

$$x=\frac{1590}{106}$$

Divide 1590 by 106 to get 15.

$$x=15$$