4a+3-2a+4=5a-7+9

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Solution for 4a+3-2a+4=5a-7+9 equation:


Simplifying
4a + 3 + -2a + 4 = 5a + -7 + 9

Reorder the terms:
3 + 4 + 4a + -2a = 5a + -7 + 9

Combine like terms: 3 + 4 = 7
7 + 4a + -2a = 5a + -7 + 9

Combine like terms: 4a + -2a = 2a
7 + 2a = 5a + -7 + 9

Reorder the terms:
7 + 2a = -7 + 9 + 5a

Combine like terms: -7 + 9 = 2
7 + 2a = 2 + 5a

Solving
7 + 2a = 2 + 5a

Solving for variable 'a'.

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

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

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

Combine like terms: 5a + -5a = 0
7 + -3a = 2 + 0
7 + -3a = 2

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

Combine like terms: 7 + -7 = 0
0 + -3a = 2 + -7
-3a = 2 + -7

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

Divide each side by '-3'.
a = 1.666666667

Simplifying
a = 1.666666667

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