Solve 3(x-4)-2(4x-3)=12(x-9)

$$3 ( x - 4 ) - 2 ( 4 x - 3 ) = 12 ( x - 9 )$$

Solve for x

$$x=6$$

Steps for Solving Linear Equation

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

$$3x-12-2\left(4x-3\right)=12\left(x-9\right)$$

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

$$3x-12-8x+6=12\left(x-9\right)$$

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

$$-5x-12+6=12\left(x-9\right)$$

Add -12 and 6 to get -6.

$$-5x-6=12\left(x-9\right)$$

Use the distributive property to multiply 12 by x-9.

$$-5x-6=12x-108$$

Subtract 12x from both sides.

$$-5x-6-12x=-108$$

Combine -5x and -12x to get -17x.

$$-17x-6=-108$$

Add 6 to both sides.

$$-17x=-108+6$$

Add -108 and 6 to get -102.

$$-17x=-102$$

Divide both sides by -17.

$$x=\frac{-102}{-17}$$

Divide -102 by -17 to get 6.

$$x=6$$