Solve 3-(-4)/-2-a=-10-(-3)/-5-6

$$\frac { 3 - ( - 4 ) } { - 2 - a } = \frac { - 10 - ( - 3 ) } { - 5 - 6 }$$

Solve for a

$$a=-13$$

Steps for Solving Linear Equation

Variable a cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by -a-2.

$$3-\left(-4\right)=\left(\frac{1}{11}a+\frac{2}{11}\right)\left(-10-\left(-3\right)\right)$$

The opposite of -4 is 4.

$$3+4=\left(\frac{1}{11}a+\frac{2}{11}\right)\left(-10-\left(-3\right)\right)$$

Add 3 and 4 to get 7.

$$7=\left(\frac{1}{11}a+\frac{2}{11}\right)\left(-10-\left(-3\right)\right)$$

The opposite of -3 is 3.

$$7=\left(\frac{1}{11}a+\frac{2}{11}\right)\left(-10+3\right)$$

Add -10 and 3 to get -7.

$$7=\left(\frac{1}{11}a+\frac{2}{11}\right)\left(-7\right)$$

Use the distributive property to multiply \frac{1}{11}a+\frac{2}{11} by -7.

$$7=-\frac{7}{11}a-\frac{14}{11}$$

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

$$-\frac{7}{11}a-\frac{14}{11}=7$$

Add \frac{14}{11} to both sides.

$$-\frac{7}{11}a=7+\frac{14}{11}$$

Add 7 and \frac{14}{11} to get \frac{91}{11}.

$$-\frac{7}{11}a=\frac{91}{11}$$

Multiply both sides by -\frac{11}{7}, the reciprocal of -\frac{7}{11}.

$$a=\frac{91}{11}\left(-\frac{11}{7}\right)$$

Multiply \frac{91}{11} and -\frac{11}{7} to get -13.

$$a=-13$$