2(a-4)+6=3(a+2)-4

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Solution for 2(a-4)+6=3(a+2)-4 equation:


Simplifying
2(a + -4) + 6 = 3(a + 2) + -4

Reorder the terms:
2(-4 + a) + 6 = 3(a + 2) + -4
(-4 * 2 + a * 2) + 6 = 3(a + 2) + -4
(-8 + 2a) + 6 = 3(a + 2) + -4

Reorder the terms:
-8 + 6 + 2a = 3(a + 2) + -4

Combine like terms: -8 + 6 = -2
-2 + 2a = 3(a + 2) + -4

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

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

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

Solving
-2 + 2a = 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 + 2a + -3a = 2 + 3a + -3a

Combine like terms: 2a + -3a = -1a
-2 + -1a = 2 + 3a + -3a

Combine like terms: 3a + -3a = 0
-2 + -1a = 2 + 0
-2 + -1a = 2

Add '2' to each side of the equation.
-2 + 2 + -1a = 2 + 2

Combine like terms: -2 + 2 = 0
0 + -1a = 2 + 2
-1a = 2 + 2

Combine like terms: 2 + 2 = 4
-1a = 4

Divide each side by '-1'.
a = -4

Simplifying
a = -4

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