Solve 6(16-x)-9(15-2x)=18(x-3)+3

$$6 ( 16 - x ) - 9 ( 15 - 2 x ) = 18 ( x - 3 ) + 3$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by 16-x.

$$96-6x-9\left(15-2x\right)=18\left(x-3\right)+3$$

Use the distributive property to multiply -9 by 15-2x.

$$96-6x-135+18x=18\left(x-3\right)+3$$

Subtract 135 from 96 to get -39.

$$-39-6x+18x=18\left(x-3\right)+3$$

Combine -6x and 18x to get 12x.

$$-39+12x=18\left(x-3\right)+3$$

Use the distributive property to multiply 18 by x-3.

$$-39+12x=18x-54+3$$

Add -54 and 3 to get -51.

$$-39+12x=18x-51$$

Subtract 18x from both sides.

$$-39+12x-18x=-51$$

Combine 12x and -18x to get -6x.

$$-39-6x=-51$$

Add 39 to both sides.

$$-6x=-51+39$$

Add -51 and 39 to get -12.

$$-6x=-12$$

Divide both sides by -6.

$$x=\frac{-12}{-6}$$

Divide -12 by -6 to get 2.

$$x=2$$