Solve -1-5=-3/4(x+1)

$$- 1 - 5 = - \frac { 3 } { 4 } ( x + 1 )$$

Solve for x

$$x=7$$

Steps for Solving Linear Equation

Subtract 5 from -1 to get -6.

$$-6=-\frac{3}{4}\left(x+1\right)$$

Use the distributive property to multiply -\frac{3}{4} by x+1.

$$-6=-\frac{3}{4}x-\frac{3}{4}$$

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

$$-\frac{3}{4}x-\frac{3}{4}=-6$$

Add \frac{3}{4} to both sides.

$$-\frac{3}{4}x=-6+\frac{3}{4}$$

Convert -6 to fraction -\frac{24}{4}.

$$-\frac{3}{4}x=-\frac{24}{4}+\frac{3}{4}$$

Since -\frac{24}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.

$$-\frac{3}{4}x=\frac{-24+3}{4}$$

Add -24 and 3 to get -21.

$$-\frac{3}{4}x=-\frac{21}{4}$$

Multiply both sides by -\frac{4}{3}, the reciprocal of -\frac{3}{4}.

$$x=-\frac{21}{4}\left(-\frac{4}{3}\right)$$

Multiply -\frac{21}{4} times -\frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-21\left(-4\right)}{4\times 3}$$

Do the multiplications in the fraction \frac{-21\left(-4\right)}{4\times 3}.

$$x=\frac{84}{12}$$

Divide 84 by 12 to get 7.

$$x=7$$