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

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

Solve for x

$$x=-3$$

Steps for Solving Linear Equation

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

$$3x-8x+6=7\left(x+6\right)$$

Combine 3x and -8x to get -5x.

$$-5x+6=7\left(x+6\right)$$

Use the distributive property to multiply 7 by x+6.

$$-5x+6=7x+42$$

Subtract 7x from both sides.

$$-5x+6-7x=42$$

Combine -5x and -7x to get -12x.

$$-12x+6=42$$

Subtract 6 from both sides.

$$-12x=42-6$$

Subtract 6 from 42 to get 36.

$$-12x=36$$

Divide both sides by -12.

$$x=\frac{36}{-12}$$

Divide 36 by -12 to get -3.

$$x=-3$$