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

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


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

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

Reorder the terms:
-12 + 2a + 3x = 5x + 4

Reorder the terms:
-12 + 2a + 3x = 4 + 5x

Solving
-12 + 2a + 3x = 4 + 5x

Solving for variable 'a'.

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

Add '12' to each side of the equation.
-12 + 2a + 12 + 3x = 4 + 12 + 5x

Reorder the terms:
-12 + 12 + 2a + 3x = 4 + 12 + 5x

Combine like terms: -12 + 12 = 0
0 + 2a + 3x = 4 + 12 + 5x
2a + 3x = 4 + 12 + 5x

Combine like terms: 4 + 12 = 16
2a + 3x = 16 + 5x

Add '-3x' to each side of the equation.
2a + 3x + -3x = 16 + 5x + -3x

Combine like terms: 3x + -3x = 0
2a + 0 = 16 + 5x + -3x
2a = 16 + 5x + -3x

Combine like terms: 5x + -3x = 2x
2a = 16 + 2x

Divide each side by '2'.
a = 8 + x

Simplifying
a = 8 + x

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