24-x+7-3x=15+2x-2

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Solution for 24-x+7-3x=15+2x-2 equation:


Simplifying
24 + -1x + 7 + -3x = 15 + 2x + -2

Reorder the terms:
24 + 7 + -1x + -3x = 15 + 2x + -2

Combine like terms: 24 + 7 = 31
31 + -1x + -3x = 15 + 2x + -2

Combine like terms: -1x + -3x = -4x
31 + -4x = 15 + 2x + -2

Reorder the terms:
31 + -4x = 15 + -2 + 2x

Combine like terms: 15 + -2 = 13
31 + -4x = 13 + 2x

Solving
31 + -4x = 13 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
31 + -4x + -2x = 13 + 2x + -2x

Combine like terms: -4x + -2x = -6x
31 + -6x = 13 + 2x + -2x

Combine like terms: 2x + -2x = 0
31 + -6x = 13 + 0
31 + -6x = 13

Add '-31' to each side of the equation.
31 + -31 + -6x = 13 + -31

Combine like terms: 31 + -31 = 0
0 + -6x = 13 + -31
-6x = 13 + -31

Combine like terms: 13 + -31 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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