2(X-16)=3(X+4)

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Solution for 2(X-16)=3(X+4) equation:


Simplifying
2(X + -16) = 3(X + 4)

Reorder the terms:
2(-16 + X) = 3(X + 4)
(-16 * 2 + X * 2) = 3(X + 4)
(-32 + 2X) = 3(X + 4)

Reorder the terms:
-32 + 2X = 3(4 + X)
-32 + 2X = (4 * 3 + X * 3)
-32 + 2X = (12 + 3X)

Solving
-32 + 2X = 12 + 3X

Solving for variable 'X'.

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

Add '-3X' to each side of the equation.
-32 + 2X + -3X = 12 + 3X + -3X

Combine like terms: 2X + -3X = -1X
-32 + -1X = 12 + 3X + -3X

Combine like terms: 3X + -3X = 0
-32 + -1X = 12 + 0
-32 + -1X = 12

Add '32' to each side of the equation.
-32 + 32 + -1X = 12 + 32

Combine like terms: -32 + 32 = 0
0 + -1X = 12 + 32
-1X = 12 + 32

Combine like terms: 12 + 32 = 44
-1X = 44

Divide each side by '-1'.
X = -44

Simplifying
X = -44

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