Solve 3(3x+5)-4(3x-5)=0

$$3 ( 3 x + 5 ) - 4 ( 3 x - 5 ) = 0$$

Solve for x

$$x = \frac{35}{3} = 11\frac{2}{3} \approx 11.666666667$$

Steps for Solving Linear Equation

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

$$9x+15-4\left(3x-5\right)=0$$

Use the distributive property to multiply -4 by 3x-5.

$$9x+15-12x+20=0$$

Combine 9x and -12x to get -3x.

$$-3x+15+20=0$$

Add 15 and 20 to get 35.

$$-3x+35=0$$

Subtract 35 from both sides. Anything subtracted from zero gives its negation.

$$-3x=-35$$

Divide both sides by -3.

$$x=\frac{-35}{-3}$$

Fraction \frac{-35}{-3} can be simplified to \frac{35}{3} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{35}{3}$$