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

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


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

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

Reorder the terms:
2 + 5a = 3(-2 + a) + 4
2 + 5a = (-2 * 3 + a * 3) + 4
2 + 5a = (-6 + 3a) + 4

Reorder the terms:
2 + 5a = -6 + 4 + 3a

Combine like terms: -6 + 4 = -2
2 + 5a = -2 + 3a

Solving
2 + 5a = -2 + 3a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-3a' to each side of the equation.
2 + 5a + -3a = -2 + 3a + -3a

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

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

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

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

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

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

Simplifying
a = -2

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