Solve 2(11-40)=3-(5a+2)

$$2 ( 11 - 40 ) = 3 - ( 5 a + 2 )$$

Solve for a

$$a = \frac{59}{5} = 11\frac{4}{5} = 11.8$$

Steps for Solving Linear Equation

Subtract 40 from 11 to get -29.

$$2\left(-29\right)=3-\left(5a+2\right)$$

Multiply 2 and -29 to get -58.

$$-58=3-\left(5a+2\right)$$

To find the opposite of 5a+2, find the opposite of each term.

$$-58=3-5a-2$$

Subtract 2 from 3 to get 1.

$$-58=1-5a$$

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

$$1-5a=-58$$

Subtract 1 from both sides.

$$-5a=-58-1$$

Subtract 1 from -58 to get -59.

$$-5a=-59$$

Divide both sides by -5.

$$a=\frac{-59}{-5}$$

Fraction \frac{-59}{-5} can be simplified to \frac{59}{5} by removing the negative sign from both the numerator and the denominator.

$$a=\frac{59}{5}$$