2a+10=5a-2

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


Simplifying
2a + 10 = 5a + -2

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

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

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

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

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

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

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

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

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

Simplifying
a = 4

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