Solve 12x+8-2(2x+3)=4x-6(x+1)+5x

$$12x+8-2(2x+3)=4x-6(x+1)+5x$$

Solve for x

$$x = -\frac{8}{5} = -1\frac{3}{5} = -1.6$$

Steps for Solving Linear Equation

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

$$12x+8-4x-6=4x-6\left(x+1\right)+5x$$

Combine 12x and -4x to get 8x.

$$8x+8-6=4x-6\left(x+1\right)+5x$$

Subtract 6 from 8 to get 2.

$$8x+2=4x-6\left(x+1\right)+5x$$

Use the distributive property to multiply -6 by x+1.

$$8x+2=4x-6x-6+5x$$

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

$$8x+2=-2x-6+5x$$

Combine -2x and 5x to get 3x.

$$8x+2=3x-6$$

Subtract 3x from both sides.

$$8x+2-3x=-6$$

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

$$5x+2=-6$$

Subtract 2 from both sides.

$$5x=-6-2$$

Subtract 2 from -6 to get -8.

$$5x=-8$$

Divide both sides by 5.

$$x=\frac{-8}{5}$$

Fraction \frac{-8}{5} can be rewritten as -\frac{8}{5} by extracting the negative sign.

$$x=-\frac{8}{5}$$