2a+5=7a-3

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


Simplifying
2a + 5 = 7a + -3

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

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

Solving
5 + 2a = -3 + 7a

Solving for variable 'a'.

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

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

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

Combine like terms: 7a + -7a = 0
5 + -5a = -3 + 0
5 + -5a = -3

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

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

Combine like terms: -3 + -5 = -8
-5a = -8

Divide each side by '-5'.
a = 1.6

Simplifying
a = 1.6

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