Solve -11=-3x+4(x+3)+5x

$$- 11 = - 3 x + 4 ( x + 3 ) + 5 x$$

Solve for x

$$x = -\frac{23}{6} = -3\frac{5}{6} \approx -3.833333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by x+3.

$$-11=-3x+4x+12+5x$$

Combine -3x and 4x to get x.

$$-11=x+12+5x$$

Combine x and 5x to get 6x.

$$-11=6x+12$$

Swap sides so that all variable terms are on the left hand side.

$$6x+12=-11$$

Subtract 12 from both sides.

$$6x=-11-12$$

Subtract 12 from -11 to get -23.

$$6x=-23$$

Divide both sides by 6.

$$x=\frac{-23}{6}$$

Fraction \frac{-23}{6} can be rewritten as -\frac{23}{6} by extracting the negative sign.

$$x=-\frac{23}{6}$$