7a+5=3a-2

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


Simplifying
7a + 5 = 3a + -2

Reorder the terms:
5 + 7a = 3a + -2

Reorder the terms:
5 + 7a = -2 + 3a

Solving
5 + 7a = -2 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
5 + 7a + -3a = -2 + 3a + -3a

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

Combine like terms: 3a + -3a = 0
5 + 4a = -2 + 0
5 + 4a = -2

Add '-5' to each side of the equation.
5 + -5 + 4a = -2 + -5

Combine like terms: 5 + -5 = 0
0 + 4a = -2 + -5
4a = -2 + -5

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

Divide each side by '4'.
a = -1.75

Simplifying
a = -1.75

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