Solve 3sqrt{3}[x-4(x+1)]-23=27

$$3 \sqrt { 3 } [ x - 4 ( x + 1 ) ] - 23 = 27$$

Solve for x

$$x=-\frac{50\sqrt{3}}{27}-\frac{4}{3}\approx -4.540834829$$

Steps for Solving Linear Equation

Use the distributive property to multiply -4 by x+1.

$$3\sqrt{3}\left(x-4x-4\right)-23=27$$

Combine x and -4x to get -3x.

$$3\sqrt{3}\left(-3x-4\right)-23=27$$

Use the distributive property to multiply 3\sqrt{3} by -3x-4.

$$-9\sqrt{3}x-12\sqrt{3}-23=27$$

Add 12\sqrt{3} to both sides.

$$-9\sqrt{3}x-23=27+12\sqrt{3}$$

Add 23 to both sides.

$$-9\sqrt{3}x=27+12\sqrt{3}+23$$

Add 27 and 23 to get 50.

$$-9\sqrt{3}x=50+12\sqrt{3}$$

The equation is in standard form.

$$\left(-9\sqrt{3}\right)x=12\sqrt{3}+50$$

Divide both sides by -9\sqrt{3}.

$$\frac{\left(-9\sqrt{3}\right)x}{-9\sqrt{3}}=\frac{12\sqrt{3}+50}{-9\sqrt{3}}$$

Dividing by -9\sqrt{3} undoes the multiplication by -9\sqrt{3}.

$$x=\frac{12\sqrt{3}+50}{-9\sqrt{3}}$$

Divide 50+12\sqrt{3} by -9\sqrt{3}.

$$x=-\frac{50\sqrt{3}}{27}-\frac{4}{3}$$