3X+14=10X-21

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Solution for 3X+14=10X-21 equation:


Simplifying
3X + 14 = 10X + -21

Reorder the terms:
14 + 3X = 10X + -21

Reorder the terms:
14 + 3X = -21 + 10X

Solving
14 + 3X = -21 + 10X

Solving for variable 'X'.

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

Add '-10X' to each side of the equation.
14 + 3X + -10X = -21 + 10X + -10X

Combine like terms: 3X + -10X = -7X
14 + -7X = -21 + 10X + -10X

Combine like terms: 10X + -10X = 0
14 + -7X = -21 + 0
14 + -7X = -21

Add '-14' to each side of the equation.
14 + -14 + -7X = -21 + -14

Combine like terms: 14 + -14 = 0
0 + -7X = -21 + -14
-7X = -21 + -14

Combine like terms: -21 + -14 = -35
-7X = -35

Divide each side by '-7'.
X = 5

Simplifying
X = 5

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