3X-2X+1=7X-3+5X-X+24

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Solution for 3X-2X+1=7X-3+5X-X+24 equation: 


Simplifying
3X + -2X + 1 = 7X + -3 + 5X + -1X + 24

Reorder the terms:
1 + 3X + -2X = 7X + -3 + 5X + -1X + 24

Combine like terms: 3X + -2X = 1X
1 + 1X = 7X + -3 + 5X + -1X + 24

Reorder the terms:
1 + 1X = -3 + 24 + 7X + 5X + -1X

Combine like terms: -3 + 24 = 21
1 + 1X = 21 + 7X + 5X + -1X

Combine like terms: 7X + 5X = 12X
1 + 1X = 21 + 12X + -1X

Combine like terms: 12X + -1X = 11X
1 + 1X = 21 + 11X

Solving
1 + 1X = 21 + 11X

Solving for variable 'X'.

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

Add '-11X' to each side of the equation.
1 + 1X + -11X = 21 + 11X + -11X

Combine like terms: 1X + -11X = -10X
1 + -10X = 21 + 11X + -11X

Combine like terms: 11X + -11X = 0
1 + -10X = 21 + 0
1 + -10X = 21

Add '-1' to each side of the equation.
1 + -1 + -10X = 21 + -1

Combine like terms: 1 + -1 = 0
0 + -10X = 21 + -1
-10X = 21 + -1

Combine like terms: 21 + -1 = 20
-10X = 20

Divide each side by '-10'.
X = -2

Simplifying
X = -2

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