5(a-4)=2a+2a+3a+20

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Solution for 5(a-4)=2a+2a+3a+20 equation:


Simplifying
5(a + -4) = 2a + 2a + 3a + 20

Reorder the terms:
5(-4 + a) = 2a + 2a + 3a + 20
(-4 * 5 + a * 5) = 2a + 2a + 3a + 20
(-20 + 5a) = 2a + 2a + 3a + 20

Reorder the terms:
-20 + 5a = 20 + 2a + 2a + 3a

Combine like terms: 2a + 2a = 4a
-20 + 5a = 20 + 4a + 3a

Combine like terms: 4a + 3a = 7a
-20 + 5a = 20 + 7a

Solving
-20 + 5a = 20 + 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.
-20 + 5a + -7a = 20 + 7a + -7a

Combine like terms: 5a + -7a = -2a
-20 + -2a = 20 + 7a + -7a

Combine like terms: 7a + -7a = 0
-20 + -2a = 20 + 0
-20 + -2a = 20

Add '20' to each side of the equation.
-20 + 20 + -2a = 20 + 20

Combine like terms: -20 + 20 = 0
0 + -2a = 20 + 20
-2a = 20 + 20

Combine like terms: 20 + 20 = 40
-2a = 40

Divide each side by '-2'.
a = -20

Simplifying
a = -20

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