Solve 4x-5(2-x)=3(x-6)-16

$$4 x - 5 ( 2 - x ) = 3 ( x - 6 ) - 16$$

Solve for x

$$x=-4$$

Steps for Solving Linear Equation

Use the distributive property to multiply -5 by 2-x.

$$4x-10+5x=3\left(x-6\right)-16$$

Combine 4x and 5x to get 9x.

$$9x-10=3\left(x-6\right)-16$$

Use the distributive property to multiply 3 by x-6.

$$9x-10=3x-18-16$$

Subtract 16 from -18 to get -34.

$$9x-10=3x-34$$

Subtract 3x from both sides.

$$9x-10-3x=-34$$

Combine 9x and -3x to get 6x.

$$6x-10=-34$$

Add 10 to both sides.

$$6x=-34+10$$

Add -34 and 10 to get -24.

$$6x=-24$$

Divide both sides by 6.

$$x=\frac{-24}{6}$$

Divide -24 by 6 to get -4.

$$x=-4$$