Solve 2(3x-1)+5(x+3)=9

$$2 ( 3 x - 1 ) + 5 ( x + 3 ) = 9$$

Solve for x

$$x=-\frac{4}{11}\approx -0.363636364$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 3x-1.

$$6x-2+5\left(x+3\right)=9$$

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

$$6x-2+5x+15=9$$

Combine 6x and 5x to get 11x.

$$11x-2+15=9$$

Add -2 and 15 to get 13.

$$11x+13=9$$

Subtract 13 from both sides.

$$11x=9-13$$

Subtract 13 from 9 to get -4.

$$11x=-4$$

Divide both sides by 11.

$$x=\frac{-4}{11}$$

Fraction \frac{-4}{11} can be rewritten as -\frac{4}{11} by extracting the negative sign.

$$x=-\frac{4}{11}$$