Solve 3left(2x+1right)-2left(x+1right)=1-2-5x

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

Solve for x

$$x=-\frac{2}{9}\approx -0.222222222$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 2x+1.

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

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

$$6x+3-2x-2=1-2-5x$$

Combine 6x and -2x to get 4x.

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

Subtract 2 from 3 to get 1.

$$4x+1=1-2-5x$$

Subtract 2 from 1 to get -1.

$$4x+1=-1-5x$$

Add 5x to both sides.

$$4x+1+5x=-1$$

Combine 4x and 5x to get 9x.

$$9x+1=-1$$

Subtract 1 from both sides.

$$9x=-1-1$$

Subtract 1 from -1 to get -2.

$$9x=-2$$

Divide both sides by 9.

$$x=\frac{-2}{9}$$

Fraction \frac{-2}{9} can be rewritten as -\frac{2}{9} by extracting the negative sign.

$$x=-\frac{2}{9}$$