2x+3-4x-12x+28=5x-17+24x

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Solution for 2x+3-4x-12x+28=5x-17+24x equation:


Simplifying
2x + 3 + -4x + -12x + 28 = 5x + -17 + 24x

Reorder the terms:
3 + 28 + 2x + -4x + -12x = 5x + -17 + 24x

Combine like terms: 3 + 28 = 31
31 + 2x + -4x + -12x = 5x + -17 + 24x

Combine like terms: 2x + -4x = -2x
31 + -2x + -12x = 5x + -17 + 24x

Combine like terms: -2x + -12x = -14x
31 + -14x = 5x + -17 + 24x

Reorder the terms:
31 + -14x = -17 + 5x + 24x

Combine like terms: 5x + 24x = 29x
31 + -14x = -17 + 29x

Solving
31 + -14x = -17 + 29x

Solving for variable 'x'.

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

Add '-29x' to each side of the equation.
31 + -14x + -29x = -17 + 29x + -29x

Combine like terms: -14x + -29x = -43x
31 + -43x = -17 + 29x + -29x

Combine like terms: 29x + -29x = 0
31 + -43x = -17 + 0
31 + -43x = -17

Add '-31' to each side of the equation.
31 + -31 + -43x = -17 + -31

Combine like terms: 31 + -31 = 0
0 + -43x = -17 + -31
-43x = -17 + -31

Combine like terms: -17 + -31 = -48
-43x = -48

Divide each side by '-43'.
x = 1.11627907

Simplifying
x = 1.11627907

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