2(a-41)=4a-2(2a+4)

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Solution for 2(a-41)=4a-2(2a+4) equation:


Simplifying
2(a + -41) = 4a + -2(2a + 4)

Reorder the terms:
2(-41 + a) = 4a + -2(2a + 4)
(-41 * 2 + a * 2) = 4a + -2(2a + 4)
(-82 + 2a) = 4a + -2(2a + 4)

Reorder the terms:
-82 + 2a = 4a + -2(4 + 2a)
-82 + 2a = 4a + (4 * -2 + 2a * -2)
-82 + 2a = 4a + (-8 + -4a)

Reorder the terms:
-82 + 2a = -8 + 4a + -4a

Combine like terms: 4a + -4a = 0
-82 + 2a = -8 + 0
-82 + 2a = -8

Solving
-82 + 2a = -8

Solving for variable 'a'.

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

Add '82' to each side of the equation.
-82 + 82 + 2a = -8 + 82

Combine like terms: -82 + 82 = 0
0 + 2a = -8 + 82
2a = -8 + 82

Combine like terms: -8 + 82 = 74
2a = 74

Divide each side by '2'.
a = 37

Simplifying
a = 37

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