Solve 8x-6(2x+3)=-2(3+x)

$$8 x - 6 ( 2 x + 3 ) = - 2 ( 3 + x )$$

Solve for x

$$x=-6$$

Steps for Solving Linear Equation

Use the distributive property to multiply -6 by 2x+3.

$$8x-12x-18=-2\left(3+x\right)$$

Combine 8x and -12x to get -4x.

$$-4x-18=-2\left(3+x\right)$$

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

$$-4x-18=-6-2x$$

Add 2x to both sides.

$$-4x-18+2x=-6$$

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

$$-2x-18=-6$$

Add 18 to both sides.

$$-2x=-6+18$$

Add -6 and 18 to get 12.

$$-2x=12$$

Divide both sides by -2.

$$x=\frac{12}{-2}$$

Divide 12 by -2 to get -6.

$$x=-6$$