5a+2=2a-10

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


Simplifying
5a + 2 = 2a + -10

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

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

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

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

Combine like terms: 2a + -2a = 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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