3a+4=2a+7

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Solution for 3a+4=2a+7 equation:


Simplifying
3a + 4 = 2a + 7

Reorder the terms:
4 + 3a = 2a + 7

Reorder the terms:
4 + 3a = 7 + 2a

Solving
4 + 3a = 7 + 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.
4 + 3a + -2a = 7 + 2a + -2a

Combine like terms: 3a + -2a = 1a
4 + 1a = 7 + 2a + -2a

Combine like terms: 2a + -2a = 0
4 + 1a = 7 + 0
4 + 1a = 7

Add '-4' to each side of the equation.
4 + -4 + 1a = 7 + -4

Combine like terms: 4 + -4 = 0
0 + 1a = 7 + -4
1a = 7 + -4

Combine like terms: 7 + -4 = 3
1a = 3

Divide each side by '1'.
a = 3

Simplifying
a = 3

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