5a-2(a-2)=-8+5a+6

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Solution for 5a-2(a-2)=-8+5a+6 equation:


Simplifying
5a + -2(a + -2) = -8 + 5a + 6

Reorder the terms:
5a + -2(-2 + a) = -8 + 5a + 6
5a + (-2 * -2 + a * -2) = -8 + 5a + 6
5a + (4 + -2a) = -8 + 5a + 6

Reorder the terms:
4 + 5a + -2a = -8 + 5a + 6

Combine like terms: 5a + -2a = 3a
4 + 3a = -8 + 5a + 6

Reorder the terms:
4 + 3a = -8 + 6 + 5a

Combine like terms: -8 + 6 = -2
4 + 3a = -2 + 5a

Solving
4 + 3a = -2 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
4 + 3a + -5a = -2 + 5a + -5a

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

Combine like terms: 5a + -5a = 0
4 + -2a = -2 + 0
4 + -2a = -2

Add '-4' to each side of the equation.
4 + -4 + -2a = -2 + -4

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

Combine like terms: -2 + -4 = -6
-2a = -6

Divide each side by '-2'.
a = 3

Simplifying
a = 3

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