Solve 3*(4-x)-5x=2(x+1)

$$3 \cdot ( 4 - x ) - 5 x = 2 ( x + 1 )$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

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

$$12-3x-5x=2\left(x+1\right)$$

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

$$12-8x=2\left(x+1\right)$$

Use the distributive property to multiply 2 by x+1.

$$12-8x=2x+2$$

Subtract 2x from both sides.

$$12-8x-2x=2$$

Combine -8x and -2x to get -10x.

$$12-10x=2$$

Subtract 12 from both sides.

$$-10x=2-12$$

Subtract 12 from 2 to get -10.

$$-10x=-10$$

Divide both sides by -10.

$$x=\frac{-10}{-10}$$

Divide -10 by -10 to get 1.

$$x=1$$