3X+7=5X-21

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Solution for 3X+7=5X-21 equation:


Simplifying
3X + 7 = 5X + -21

Reorder the terms:
7 + 3X = 5X + -21

Reorder the terms:
7 + 3X = -21 + 5X

Solving
7 + 3X = -21 + 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.
7 + 3X + -5X = -21 + 5X + -5X

Combine like terms: 3X + -5X = -2X
7 + -2X = -21 + 5X + -5X

Combine like terms: 5X + -5X = 0
7 + -2X = -21 + 0
7 + -2X = -21

Add '-7' to each side of the equation.
7 + -7 + -2X = -21 + -7

Combine like terms: 7 + -7 = 0
0 + -2X = -21 + -7
-2X = -21 + -7

Combine like terms: -21 + -7 = -28
-2X = -28

Divide each side by '-2'.
X = 14

Simplifying
X = 14

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