3(x-4)=2(2x+7)+9a

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Solution for 3(x-4)=2(2x+7)+9a equation:


Simplifying
3(x + -4) = 2(2x + 7) + 9a

Reorder the terms:
3(-4 + x) = 2(2x + 7) + 9a
(-4 * 3 + x * 3) = 2(2x + 7) + 9a
(-12 + 3x) = 2(2x + 7) + 9a

Reorder the terms:
-12 + 3x = 2(7 + 2x) + 9a
-12 + 3x = (7 * 2 + 2x * 2) + 9a
-12 + 3x = (14 + 4x) + 9a

Reorder the terms:
-12 + 3x = 14 + 9a + 4x

Solving
-12 + 3x = 14 + 9a + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-12 + 3x + -4x = 14 + 9a + 4x + -4x

Combine like terms: 3x + -4x = -1x
-12 + -1x = 14 + 9a + 4x + -4x

Combine like terms: 4x + -4x = 0
-12 + -1x = 14 + 9a + 0
-12 + -1x = 14 + 9a

Add '12' to each side of the equation.
-12 + 12 + -1x = 14 + 12 + 9a

Combine like terms: -12 + 12 = 0
0 + -1x = 14 + 12 + 9a
-1x = 14 + 12 + 9a

Combine like terms: 14 + 12 = 26
-1x = 26 + 9a

Divide each side by '-1'.
x = -26 + -9a

Simplifying
x = -26 + -9a

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