13x-(3x+12)-12x=-5x+3

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Solution for 13x-(3x+12)-12x=-5x+3 equation:


Simplifying
13x + -1(3x + 12) + -12x = -5x + 3

Reorder the terms:
13x + -1(12 + 3x) + -12x = -5x + 3
13x + (12 * -1 + 3x * -1) + -12x = -5x + 3
13x + (-12 + -3x) + -12x = -5x + 3

Reorder the terms:
-12 + 13x + -3x + -12x = -5x + 3

Combine like terms: 13x + -3x = 10x
-12 + 10x + -12x = -5x + 3

Combine like terms: 10x + -12x = -2x
-12 + -2x = -5x + 3

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

Solving
-12 + -2x = 3 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-12 + -2x + 5x = 3 + -5x + 5x

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

Combine like terms: -5x + 5x = 0
-12 + 3x = 3 + 0
-12 + 3x = 3

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

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

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

Divide each side by '3'.
x = 5

Simplifying
x = 5

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