Solve 7+4a=7a-(8-4a)

$$7 + 4 a = 7 a - ( 8 - 4 a )$$

Solve for a

$$a = \frac{15}{7} = 2\frac{1}{7} \approx 2.142857143$$

Steps for Solving Linear Equation

To find the opposite of 8-4a, find the opposite of each term.

$$7+4a=7a-8-\left(-4a\right)$$

The opposite of -4a is 4a.

$$7+4a=7a-8+4a$$

Combine 7a and 4a to get 11a.

$$7+4a=11a-8$$

Subtract 11a from both sides.

$$7+4a-11a=-8$$

Combine 4a and -11a to get -7a.

$$7-7a=-8$$

Subtract 7 from both sides.

$$-7a=-8-7$$

Subtract 7 from -8 to get -15.

$$-7a=-15$$

Divide both sides by -7.

$$a=\frac{-15}{-7}$$

Fraction \frac{-15}{-7} can be simplified to \frac{15}{7} by removing the negative sign from both the numerator and the denominator.

$$a=\frac{15}{7}$$