Solve 2(x+6)-4(x-8)=-sqrt{36}

$$2 ( x + 6 ) - 4 ( x - 8 ) = - \sqrt { 36 }$$

Solve for x

$$x=25$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x+6.

$$2x+12-4\left(x-8\right)=-\sqrt{36}$$

Use the distributive property to multiply -4 by x-8.

$$2x+12-4x+32=-\sqrt{36}$$

Combine 2x and -4x to get -2x.

$$-2x+12+32=-\sqrt{36}$$

Add 12 and 32 to get 44.

$$-2x+44=-\sqrt{36}$$

Calculate the square root of 36 and get 6.

$$-2x+44=-6$$

Subtract 44 from both sides.

$$-2x=-6-44$$

Subtract 44 from -6 to get -50.

$$-2x=-50$$

Divide both sides by -2.

$$x=\frac{-50}{-2}$$

Divide -50 by -2 to get 25.

$$x=25$$