Solve 5(1-2a)+2(3-a)=3(a+4)

$$5 ( 1 - 2 a ) + 2 ( 3 - a ) = 3 ( a + 4 )$$

Solve for a

$$a=-\frac{1}{15}\approx -0.066666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by 1-2a.

$$5-10a+2\left(3-a\right)=3\left(a+4\right)$$

Use the distributive property to multiply 2 by 3-a.

$$5-10a+6-2a=3\left(a+4\right)$$

Add 5 and 6 to get 11.

$$11-10a-2a=3\left(a+4\right)$$

Combine -10a and -2a to get -12a.

$$11-12a=3\left(a+4\right)$$

Use the distributive property to multiply 3 by a+4.

$$11-12a=3a+12$$

Subtract 3a from both sides.

$$11-12a-3a=12$$

Combine -12a and -3a to get -15a.

$$11-15a=12$$

Subtract 11 from both sides.

$$-15a=12-11$$

Subtract 11 from 12 to get 1.

$$-15a=1$$

Divide both sides by -15.

$$a=\frac{1}{-15}$$

Fraction \frac{1}{-15} can be rewritten as -\frac{1}{15} by extracting the negative sign.

$$a=-\frac{1}{15}$$