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

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

Solve for x

$$x = -\frac{14}{5} = -2\frac{4}{5} = -2.8$$

Steps for Solving Linear Equation

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

$$3x-9+2\left(4-x\right)=x-5\left(x+3\right)$$

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

$$3x-9+8-2x=x-5\left(x+3\right)$$

Add -9 and 8 to get -1.

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

Combine 3x and -2x to get x.

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

Use the distributive property to multiply -5 by x+3.

$$x-1=x-5x-15$$

Combine x and -5x to get -4x.

$$x-1=-4x-15$$

Add 4x to both sides.

$$x-1+4x=-15$$

Combine x and 4x to get 5x.

$$5x-1=-15$$

Add 1 to both sides.

$$5x=-15+1$$

Add -15 and 1 to get -14.

$$5x=-14$$

Divide both sides by 5.

$$x=\frac{-14}{5}$$

Fraction \frac{-14}{5} can be rewritten as -\frac{14}{5} by extracting the negative sign.

$$x=-\frac{14}{5}$$