5a+2-2a+5=49-4a

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Solution for 5a+2-2a+5=49-4a equation:


Simplifying
5a + 2 + -2a + 5 = 49 + -4a

Reorder the terms:
2 + 5 + 5a + -2a = 49 + -4a

Combine like terms: 2 + 5 = 7
7 + 5a + -2a = 49 + -4a

Combine like terms: 5a + -2a = 3a
7 + 3a = 49 + -4a

Solving
7 + 3a = 49 + -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.
7 + 3a + 4a = 49 + -4a + 4a

Combine like terms: 3a + 4a = 7a
7 + 7a = 49 + -4a + 4a

Combine like terms: -4a + 4a = 0
7 + 7a = 49 + 0
7 + 7a = 49

Add '-7' to each side of the equation.
7 + -7 + 7a = 49 + -7

Combine like terms: 7 + -7 = 0
0 + 7a = 49 + -7
7a = 49 + -7

Combine like terms: 49 + -7 = 42
7a = 42

Divide each side by '7'.
a = 6

Simplifying
a = 6

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