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

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

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 7 by 3x+2.

$$21x+14=2\left(4x-3\right)-6$$

Use the distributive property to multiply 2 by 4x-3.

$$21x+14=8x-6-6$$

Subtract 6 from -6 to get -12.

$$21x+14=8x-12$$

Subtract 8x from both sides.

$$21x+14-8x=-12$$

Combine 21x and -8x to get 13x.

$$13x+14=-12$$

Subtract 14 from both sides.

$$13x=-12-14$$

Subtract 14 from -12 to get -26.

$$13x=-26$$

Divide both sides by 13.

$$x=\frac{-26}{13}$$

Divide -26 by 13 to get -2.

$$x=-2$$