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

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


Simplifying
2(a + -3) + -4(5 + -1a) = 4

Reorder the terms:
2(-3 + a) + -4(5 + -1a) = 4
(-3 * 2 + a * 2) + -4(5 + -1a) = 4
(-6 + 2a) + -4(5 + -1a) = 4
-6 + 2a + (5 * -4 + -1a * -4) = 4
-6 + 2a + (-20 + 4a) = 4

Reorder the terms:
-6 + -20 + 2a + 4a = 4

Combine like terms: -6 + -20 = -26
-26 + 2a + 4a = 4

Combine like terms: 2a + 4a = 6a
-26 + 6a = 4

Solving
-26 + 6a = 4

Solving for variable 'a'.

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

Add '26' to each side of the equation.
-26 + 26 + 6a = 4 + 26

Combine like terms: -26 + 26 = 0
0 + 6a = 4 + 26
6a = 4 + 26

Combine like terms: 4 + 26 = 30
6a = 30

Divide each side by '6'.
a = 5

Simplifying
a = 5

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