4a-7=5-2a+10

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Solution for 4a-7=5-2a+10 equation:


Simplifying
4a + -7 = 5 + -2a + 10

Reorder the terms:
-7 + 4a = 5 + -2a + 10

Reorder the terms:
-7 + 4a = 5 + 10 + -2a

Combine like terms: 5 + 10 = 15
-7 + 4a = 15 + -2a

Solving
-7 + 4a = 15 + -2a

Solving for variable 'a'.

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

Add '2a' to each side of the equation.
-7 + 4a + 2a = 15 + -2a + 2a

Combine like terms: 4a + 2a = 6a
-7 + 6a = 15 + -2a + 2a

Combine like terms: -2a + 2a = 0
-7 + 6a = 15 + 0
-7 + 6a = 15

Add '7' to each side of the equation.
-7 + 7 + 6a = 15 + 7

Combine like terms: -7 + 7 = 0
0 + 6a = 15 + 7
6a = 15 + 7

Combine like terms: 15 + 7 = 22
6a = 22

Divide each side by '6'.
a = 3.666666667

Simplifying
a = 3.666666667

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