(12x+20)-(16x+24)=2

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Solution for (12x+20)-(16x+24)=2 equation:


Simplifying
(12x + 20) + -1(16x + 24) = 2

Reorder the terms:
(20 + 12x) + -1(16x + 24) = 2

Remove parenthesis around (20 + 12x)
20 + 12x + -1(16x + 24) = 2

Reorder the terms:
20 + 12x + -1(24 + 16x) = 2
20 + 12x + (24 * -1 + 16x * -1) = 2
20 + 12x + (-24 + -16x) = 2

Reorder the terms:
20 + -24 + 12x + -16x = 2

Combine like terms: 20 + -24 = -4
-4 + 12x + -16x = 2

Combine like terms: 12x + -16x = -4x
-4 + -4x = 2

Solving
-4 + -4x = 2

Solving for variable 'x'.

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

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

Combine like terms: -4 + 4 = 0
0 + -4x = 2 + 4
-4x = 2 + 4

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

Divide each side by '-4'.
x = -1.5

Simplifying
x = -1.5

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