Solve -(x-12)=-4left(3x+5right)

$$-(x-12) = -4 \left( 3x+5 \right)$$

Solve for x

$$x = -\frac{32}{11} = -2\frac{10}{11} \approx -2.909090909$$

Steps for Solving Linear Equation

To find the opposite of x-12, find the opposite of each term.

$$-x-\left(-12\right)=-4\left(3x+5\right)$$

The opposite of -12 is 12.

$$-x+12=-4\left(3x+5\right)$$

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

$$-x+12=-12x-20$$

Add 12x to both sides.

$$-x+12+12x=-20$$

Combine -x and 12x to get 11x.

$$11x+12=-20$$

Subtract 12 from both sides.

$$11x=-20-12$$

Subtract 12 from -20 to get -32.

$$11x=-32$$

Divide both sides by 11.

$$x=\frac{-32}{11}$$

Fraction \frac{-32}{11} can be rewritten as -\frac{32}{11} by extracting the negative sign.

$$x=-\frac{32}{11}$$