Solve 3(3x+5)=6(7x+6)+1

$$3(3x+5)=6(7x+6)+1$$

Solve for x

$$x=-\frac{2}{3}\approx -0.666666667$$

Steps for Solving Linear Equation

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

$$9x+15=6\left(7x+6\right)+1$$

Use the distributive property to multiply 6 by 7x+6.

$$9x+15=42x+36+1$$

Add 36 and 1 to get 37.

$$9x+15=42x+37$$

Subtract 42x from both sides.

$$9x+15-42x=37$$

Combine 9x and -42x to get -33x.

$$-33x+15=37$$

Subtract 15 from both sides.

$$-33x=37-15$$

Subtract 15 from 37 to get 22.

$$-33x=22$$

Divide both sides by -33.

$$x=\frac{22}{-33}$$

Reduce the fraction \frac{22}{-33} to lowest terms by extracting and canceling out 11.

$$x=-\frac{2}{3}$$