2a+2=5a-10

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Solution for 2a+2=5a-10 equation:


Simplifying
2a + 2 = 5a + -10

Reorder the terms:
2 + 2a = 5a + -10

Reorder the terms:
2 + 2a = -10 + 5a

Solving
2 + 2a = -10 + 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.
2 + 2a + -5a = -10 + 5a + -5a

Combine like terms: 2a + -5a = -3a
2 + -3a = -10 + 5a + -5a

Combine like terms: 5a + -5a = 0
2 + -3a = -10 + 0
2 + -3a = -10

Add '-2' to each side of the equation.
2 + -2 + -3a = -10 + -2

Combine like terms: 2 + -2 = 0
0 + -3a = -10 + -2
-3a = -10 + -2

Combine like terms: -10 + -2 = -12
-3a = -12

Divide each side by '-3'.
a = 4

Simplifying
a = 4

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