Solve 7x+3/6+2x-7/5=-15

$$\frac { 7 x + 3 } { 6 } + \frac { 2 x - 7 } { 5 } = - 15$$

Solve for x

$$x=-9$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 6,5.

$$5\left(7x+3\right)+6\left(2x-7\right)=-450$$

Use the distributive property to multiply 5 by 7x+3.

$$35x+15+6\left(2x-7\right)=-450$$

Use the distributive property to multiply 6 by 2x-7.

$$35x+15+12x-42=-450$$

Combine 35x and 12x to get 47x.

$$47x+15-42=-450$$

Subtract 42 from 15 to get -27.

$$47x-27=-450$$

Add 27 to both sides.

$$47x=-450+27$$

Add -450 and 27 to get -423.

$$47x=-423$$

Divide both sides by 47.

$$x=\frac{-423}{47}$$

Divide -423 by 47 to get -9.

$$x=-9$$