Solve 1-4(x+3)=3(x+2)

$$1 - 4 ( x + 3 ) = 3 ( x + 2 )$$

Solve for x

$$x = -\frac{17}{7} = -2\frac{3}{7} \approx -2.428571429$$

Steps for Solving Linear Equation

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

$$1-4x-12=3\left(x+2\right)$$

Subtract 12 from 1 to get -11.

$$-11-4x=3\left(x+2\right)$$

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

$$-11-4x=3x+6$$

Subtract 3x from both sides.

$$-11-4x-3x=6$$

Combine -4x and -3x to get -7x.

$$-11-7x=6$$

Add 11 to both sides.

$$-7x=6+11$$

Add 6 and 11 to get 17.

$$-7x=17$$

Divide both sides by -7.

$$x=\frac{17}{-7}$$

Fraction \frac{17}{-7} can be rewritten as -\frac{17}{7} by extracting the negative sign.

$$x=-\frac{17}{7}$$