5a-(4a+5)=7a

Solution for 5a-(4a+5)=7a equation:

Simplifying
5a + -1(4a + 5) = 7a

Reorder the terms:
5a + -1(5 + 4a) = 7a
5a + (5 * -1 + 4a * -1) = 7a
5a + (-5 + -4a) = 7a

Reorder the terms:
-5 + 5a + -4a = 7a

Combine like terms: 5a + -4a = 1a
-5 + 1a = 7a

Solving
-5 + 1a = 7a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-7a' to each side of the equation.
-5 + 1a + -7a = 7a + -7a

Combine like terms: 1a + -7a = -6a
-5 + -6a = 7a + -7a

Combine like terms: 7a + -7a = 0
-5 + -6a = 0

Add '5' to each side of the equation.
-5 + 5 + -6a = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -6a = 0 + 5
-6a = 0 + 5

Combine like terms: 0 + 5 = 5
-6a = 5

Divide each side by '-6'.
a = -0.8333333333

Simplifying
a = -0.8333333333