4a+7=a+10

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Solution for 4a+7=a+10 equation:


Simplifying
4a + 7 = a + 10

Reorder the terms:
7 + 4a = a + 10

Reorder the terms:
7 + 4a = 10 + a

Solving
7 + 4a = 10 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
7 + 4a + -1a = 10 + a + -1a

Combine like terms: 4a + -1a = 3a
7 + 3a = 10 + a + -1a

Combine like terms: a + -1a = 0
7 + 3a = 10 + 0
7 + 3a = 10

Add '-7' to each side of the equation.
7 + -7 + 3a = 10 + -7

Combine like terms: 7 + -7 = 0
0 + 3a = 10 + -7
3a = 10 + -7

Combine like terms: 10 + -7 = 3
3a = 3

Divide each side by '3'.
a = 1

Simplifying
a = 1

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