Solve 2a-1=4(a+1)+7a+5

$$2 a - 1 = 4 ( a + 1 ) + 7 a + 5$$

Solve for a

$$a = -\frac{10}{9} = -1\frac{1}{9} \approx -1.111111111$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by a+1.

$$2a-1=4a+4+7a+5$$

Combine 4a and 7a to get 11a.

$$2a-1=11a+4+5$$

Add 4 and 5 to get 9.

$$2a-1=11a+9$$

Subtract 11a from both sides.

$$2a-1-11a=9$$

Combine 2a and -11a to get -9a.

$$-9a-1=9$$

Add 1 to both sides.

$$-9a=9+1$$

Add 9 and 1 to get 10.

$$-9a=10$$

Divide both sides by -9.

$$a=\frac{10}{-9}$$

Fraction \frac{10}{-9} can be rewritten as -\frac{10}{9} by extracting the negative sign.

$$a=-\frac{10}{9}$$