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

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

Solve for x

$$x=1$$

Steps for Solving Linear Equation

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

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

Combine 3x and 4x to get 7x.

$$7x-2=3\left(x+2\right)-4$$

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

$$7x-2=3x+6-4$$

Subtract 4 from 6 to get 2.

$$7x-2=3x+2$$

Subtract 3x from both sides.

$$7x-2-3x=2$$

Combine 7x and -3x to get 4x.

$$4x-2=2$$

Add 2 to both sides.

$$4x=2+2$$

Add 2 and 2 to get 4.

$$4x=4$$

Divide both sides by 4.

$$x=\frac{4}{4}$$

Divide 4 by 4 to get 1.

$$x=1$$