2x-(5x+3)=12

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


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

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

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

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

Solving
-3 + -3x = 12

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + -3x = 12 + 3

Combine like terms: -3 + 3 = 0
0 + -3x = 12 + 3
-3x = 12 + 3

Combine like terms: 12 + 3 = 15
-3x = 15

Divide each side by '-3'.
x = -5

Simplifying
x = -5

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