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

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


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

Reorder the terms:
7(-2 + 7a) = 5(2a + 5)
(-2 * 7 + 7a * 7) = 5(2a + 5)
(-14 + 49a) = 5(2a + 5)

Reorder the terms:
-14 + 49a = 5(5 + 2a)
-14 + 49a = (5 * 5 + 2a * 5)
-14 + 49a = (25 + 10a)

Solving
-14 + 49a = 25 + 10a

Solving for variable 'a'.

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

Add '-10a' to each side of the equation.
-14 + 49a + -10a = 25 + 10a + -10a

Combine like terms: 49a + -10a = 39a
-14 + 39a = 25 + 10a + -10a

Combine like terms: 10a + -10a = 0
-14 + 39a = 25 + 0
-14 + 39a = 25

Add '14' to each side of the equation.
-14 + 14 + 39a = 25 + 14

Combine like terms: -14 + 14 = 0
0 + 39a = 25 + 14
39a = 25 + 14

Combine like terms: 25 + 14 = 39
39a = 39

Divide each side by '39'.
a = 1

Simplifying
a = 1

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