Solve 2x-3(x-7)=-6(x+4)

$$2x-3(x-7)=-6(x+4)$$

Solve for x

$$x=-9$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by x-7.

$$2x-3x+21=-6\left(x+4\right)$$

Combine 2x and -3x to get -x.

$$-x+21=-6\left(x+4\right)$$

Use the distributive property to multiply -6 by x+4.

$$-x+21=-6x-24$$

Add 6x to both sides.

$$-x+21+6x=-24$$

Combine -x and 6x to get 5x.

$$5x+21=-24$$

Subtract 21 from both sides.

$$5x=-24-21$$

Subtract 21 from -24 to get -45.

$$5x=-45$$

Divide both sides by 5.

$$x=\frac{-45}{5}$$

Divide -45 by 5 to get -9.

$$x=-9$$