7a-3=5(a-11)

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Solution for 7a-3=5(a-11) equation:


Simplifying
7a + -3 = 5(a + -11)

Reorder the terms:
-3 + 7a = 5(a + -11)

Reorder the terms:
-3 + 7a = 5(-11 + a)
-3 + 7a = (-11 * 5 + a * 5)
-3 + 7a = (-55 + 5a)

Solving
-3 + 7a = -55 + 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.
-3 + 7a + -5a = -55 + 5a + -5a

Combine like terms: 7a + -5a = 2a
-3 + 2a = -55 + 5a + -5a

Combine like terms: 5a + -5a = 0
-3 + 2a = -55 + 0
-3 + 2a = -55

Add '3' to each side of the equation.
-3 + 3 + 2a = -55 + 3

Combine like terms: -3 + 3 = 0
0 + 2a = -55 + 3
2a = -55 + 3

Combine like terms: -55 + 3 = -52
2a = -52

Divide each side by '2'.
a = -26

Simplifying
a = -26

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