3a+2=7a+10

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Solution for 3a+2=7a+10 equation:


Simplifying
3a + 2 = 7a + 10

Reorder the terms:
2 + 3a = 7a + 10

Reorder the terms:
2 + 3a = 10 + 7a

Solving
2 + 3a = 10 + 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.
2 + 3a + -7a = 10 + 7a + -7a

Combine like terms: 3a + -7a = -4a
2 + -4a = 10 + 7a + -7a

Combine like terms: 7a + -7a = 0
2 + -4a = 10 + 0
2 + -4a = 10

Add '-2' to each side of the equation.
2 + -2 + -4a = 10 + -2

Combine like terms: 2 + -2 = 0
0 + -4a = 10 + -2
-4a = 10 + -2

Combine like terms: 10 + -2 = 8
-4a = 8

Divide each side by '-4'.
a = -2

Simplifying
a = -2

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