Solve 12(5+2x)=4x-(5-9x)

$$12(5+2x)=4x-(5-9x)$$

Solve for x

$$x = -\frac{65}{11} = -5\frac{10}{11} \approx -5.909090909$$

Steps for Solving Linear Equation

Use the distributive property to multiply 12 by 5+2x.

$$60+24x=4x-\left(5-9x\right)$$

To find the opposite of 5-9x, find the opposite of each term.

$$60+24x=4x-5-\left(-9x\right)$$

The opposite of -9x is 9x.

$$60+24x=4x-5+9x$$

Combine 4x and 9x to get 13x.

$$60+24x=13x-5$$

Subtract 13x from both sides.

$$60+24x-13x=-5$$

Combine 24x and -13x to get 11x.

$$60+11x=-5$$

Subtract 60 from both sides.

$$11x=-5-60$$

Subtract 60 from -5 to get -65.

$$11x=-65$$

Divide both sides by 11.

$$x=\frac{-65}{11}$$

Fraction \frac{-65}{11} can be rewritten as -\frac{65}{11} by extracting the negative sign.

$$x=-\frac{65}{11}$$