(2x-5)-(3x+4)=12

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Solution for (2x-5)-(3x+4)=12 equation:


Simplifying
(2x + -5) + -1(3x + 4) = 12

Reorder the terms:
(-5 + 2x) + -1(3x + 4) = 12

Remove parenthesis around (-5 + 2x)
-5 + 2x + -1(3x + 4) = 12

Reorder the terms:
-5 + 2x + -1(4 + 3x) = 12
-5 + 2x + (4 * -1 + 3x * -1) = 12
-5 + 2x + (-4 + -3x) = 12

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

Combine like terms: -5 + -4 = -9
-9 + 2x + -3x = 12

Combine like terms: 2x + -3x = -1x
-9 + -1x = 12

Solving
-9 + -1x = 12

Solving for variable 'x'.

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

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

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

Combine like terms: 12 + 9 = 21
-1x = 21

Divide each side by '-1'.
x = -21

Simplifying
x = -21

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