Solve (3x+5)2=2-6+9x

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

Solve for x

$$x = \frac{14}{3} = 4\frac{2}{3} \approx 4.666666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3x+5 by 2.

$$6x+10=2-6+9x$$

Subtract 6 from 2 to get -4.

$$6x+10=-4+9x$$

Subtract 9x from both sides.

$$6x+10-9x=-4$$

Combine 6x and -9x to get -3x.

$$-3x+10=-4$$

Subtract 10 from both sides.

$$-3x=-4-10$$

Subtract 10 from -4 to get -14.

$$-3x=-14$$

Divide both sides by -3.

$$x=\frac{-14}{-3}$$

Fraction \frac{-14}{-3} can be simplified to \frac{14}{3} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{14}{3}$$