7(a-3)+5(a+2)=37

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Solution for 7(a-3)+5(a+2)=37 equation:


Simplifying
7(a + -3) + 5(a + 2) = 37

Reorder the terms:
7(-3 + a) + 5(a + 2) = 37
(-3 * 7 + a * 7) + 5(a + 2) = 37
(-21 + 7a) + 5(a + 2) = 37

Reorder the terms:
-21 + 7a + 5(2 + a) = 37
-21 + 7a + (2 * 5 + a * 5) = 37
-21 + 7a + (10 + 5a) = 37

Reorder the terms:
-21 + 10 + 7a + 5a = 37

Combine like terms: -21 + 10 = -11
-11 + 7a + 5a = 37

Combine like terms: 7a + 5a = 12a
-11 + 12a = 37

Solving
-11 + 12a = 37

Solving for variable 'a'.

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

Add '11' to each side of the equation.
-11 + 11 + 12a = 37 + 11

Combine like terms: -11 + 11 = 0
0 + 12a = 37 + 11
12a = 37 + 11

Combine like terms: 37 + 11 = 48
12a = 48

Divide each side by '12'.
a = 4

Simplifying
a = 4

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