Solve 11*(3-x)-4x=5*(9-2x)-32

$$11 \cdot ( 3 - x ) - 4 x = 5 \cdot ( 9 - 2 x ) - 32$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 11 by 3-x.

$$33-11x-4x=5\left(9-2x\right)-32$$

Combine -11x and -4x to get -15x.

$$33-15x=5\left(9-2x\right)-32$$

Use the distributive property to multiply 5 by 9-2x.

$$33-15x=45-10x-32$$

Subtract 32 from 45 to get 13.

$$33-15x=13-10x$$

Add 10x to both sides.

$$33-15x+10x=13$$

Combine -15x and 10x to get -5x.

$$33-5x=13$$

Subtract 33 from both sides.

$$-5x=13-33$$

Subtract 33 from 13 to get -20.

$$-5x=-20$$

Divide both sides by -5.

$$x=\frac{-20}{-5}$$

Divide -20 by -5 to get 4.

$$x=4$$