Solve 2(x-4)-4=-7(x+1)3

$$2(x-4)-4=-7(x+1)3$$

Solve for x

$$x=-\frac{9}{23}\approx -0.391304348$$

Steps for Solving Linear Equation

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

$$2x-8-4=-7\left(x+1\right)\times 3$$

Subtract 4 from -8 to get -12.

$$2x-12=-7\left(x+1\right)\times 3$$

Multiply -7 and 3 to get -21.

$$2x-12=-21\left(x+1\right)$$

Use the distributive property to multiply -21 by x+1.

$$2x-12=-21x-21$$

Add 21x to both sides.

$$2x-12+21x=-21$$

Combine 2x and 21x to get 23x.

$$23x-12=-21$$

Add 12 to both sides.

$$23x=-21+12$$

Add -21 and 12 to get -9.

$$23x=-9$$

Divide both sides by 23.

$$x=\frac{-9}{23}$$

Fraction \frac{-9}{23} can be rewritten as -\frac{9}{23} by extracting the negative sign.

$$x=-\frac{9}{23}$$