7a-5=2(2a-13)

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Solution for 7a-5=2(2a-13) equation:


Simplifying
7a + -5 = 2(2a + -13)

Reorder the terms:
-5 + 7a = 2(2a + -13)

Reorder the terms:
-5 + 7a = 2(-13 + 2a)
-5 + 7a = (-13 * 2 + 2a * 2)
-5 + 7a = (-26 + 4a)

Solving
-5 + 7a = -26 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
-5 + 7a + -4a = -26 + 4a + -4a

Combine like terms: 7a + -4a = 3a
-5 + 3a = -26 + 4a + -4a

Combine like terms: 4a + -4a = 0
-5 + 3a = -26 + 0
-5 + 3a = -26

Add '5' to each side of the equation.
-5 + 5 + 3a = -26 + 5

Combine like terms: -5 + 5 = 0
0 + 3a = -26 + 5
3a = -26 + 5

Combine like terms: -26 + 5 = -21
3a = -21

Divide each side by '3'.
a = -7

Simplifying
a = -7

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