2a+3(a-4)=5(a-2)-2

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Solution for 2a+3(a-4)=5(a-2)-2 equation: 


Simplifying
2a + 3(a + -4) = 5(a + -2) + -2

Reorder the terms:
2a + 3(-4 + a) = 5(a + -2) + -2
2a + (-4 * 3 + a * 3) = 5(a + -2) + -2
2a + (-12 + 3a) = 5(a + -2) + -2

Reorder the terms:
-12 + 2a + 3a = 5(a + -2) + -2

Combine like terms: 2a + 3a = 5a
-12 + 5a = 5(a + -2) + -2

Reorder the terms:
-12 + 5a = 5(-2 + a) + -2
-12 + 5a = (-2 * 5 + a * 5) + -2
-12 + 5a = (-10 + 5a) + -2

Reorder the terms:
-12 + 5a = -10 + -2 + 5a

Combine like terms: -10 + -2 = -12
-12 + 5a = -12 + 5a

Add '12' to each side of the equation.
-12 + 12 + 5a = -12 + 12 + 5a

Combine like terms: -12 + 12 = 0
0 + 5a = -12 + 12 + 5a
5a = -12 + 12 + 5a

Combine like terms: -12 + 12 = 0
5a = 0 + 5a
5a = 5a

Add '-5a' to each side of the equation.
5a + -5a = 5a + -5a

Combine like terms: 5a + -5a = 0
0 = 5a + -5a

Combine like terms: 5a + -5a = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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