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

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

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x+2.

$$3x+6+4\left(2x-1\right)=5\left(x-2\right)$$

Use the distributive property to multiply 4 by 2x-1.

$$3x+6+8x-4=5\left(x-2\right)$$

Combine 3x and 8x to get 11x.

$$11x+6-4=5\left(x-2\right)$$

Subtract 4 from 6 to get 2.

$$11x+2=5\left(x-2\right)$$

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

$$11x+2=5x-10$$

Subtract 5x from both sides.

$$11x+2-5x=-10$$

Combine 11x and -5x to get 6x.

$$6x+2=-10$$

Subtract 2 from both sides.

$$6x=-10-2$$

Subtract 2 from -10 to get -12.

$$6x=-12$$

Divide both sides by 6.

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

Divide -12 by 6 to get -2.

$$x=-2$$