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

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


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

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

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

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

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

Solving
-6 + 4a = -4 + 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.
-6 + 4a + -2a = -4 + 2a + -2a

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

Combine like terms: 2a + -2a = 0
-6 + 2a = -4 + 0
-6 + 2a = -4

Add '6' to each side of the equation.
-6 + 6 + 2a = -4 + 6

Combine like terms: -6 + 6 = 0
0 + 2a = -4 + 6
2a = -4 + 6

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

Divide each side by '2'.
a = 1

Simplifying
a = 1

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