3x+15=14x-16

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Solution for 3x+15=14x-16 equation:


Simplifying
3x + 15 = 14x + -16

Reorder the terms:
15 + 3x = 14x + -16

Reorder the terms:
15 + 3x = -16 + 14x

Solving
15 + 3x = -16 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
15 + 3x + -14x = -16 + 14x + -14x

Combine like terms: 3x + -14x = -11x
15 + -11x = -16 + 14x + -14x

Combine like terms: 14x + -14x = 0
15 + -11x = -16 + 0
15 + -11x = -16

Add '-15' to each side of the equation.
15 + -15 + -11x = -16 + -15

Combine like terms: 15 + -15 = 0
0 + -11x = -16 + -15
-11x = -16 + -15

Combine like terms: -16 + -15 = -31
-11x = -31

Divide each side by '-11'.
x = 2.818181818

Simplifying
x = 2.818181818

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