Solve 15+3(x+2)=-7x+2(x+1)

$$15 + 3 ( x + 2 ) = - 7 x + 2 ( x + 1 )$$

Solve for x

$$x = -\frac{19}{8} = -2\frac{3}{8} = -2.375$$

Steps for Solving Linear Equation

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

$$15+3x+6=-7x+2\left(x+1\right)$$

Add 15 and 6 to get 21.

$$21+3x=-7x+2\left(x+1\right)$$

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

$$21+3x=-7x+2x+2$$

Combine -7x and 2x to get -5x.

$$21+3x=-5x+2$$

Add 5x to both sides.

$$21+3x+5x=2$$

Combine 3x and 5x to get 8x.

$$21+8x=2$$

Subtract 21 from both sides.

$$8x=2-21$$

Subtract 21 from 2 to get -19.

$$8x=-19$$

Divide both sides by 8.

$$x=\frac{-19}{8}$$

Fraction \frac{-19}{8} can be rewritten as -\frac{19}{8} by extracting the negative sign.

$$x=-\frac{19}{8}$$