3x+1=15x-16

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Solution for 3x+1=15x-16 equation:


Simplifying
3x + 1 = 15x + -16

Reorder the terms:
1 + 3x = 15x + -16

Reorder the terms:
1 + 3x = -16 + 15x

Solving
1 + 3x = -16 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
1 + 3x + -15x = -16 + 15x + -15x

Combine like terms: 3x + -15x = -12x
1 + -12x = -16 + 15x + -15x

Combine like terms: 15x + -15x = 0
1 + -12x = -16 + 0
1 + -12x = -16

Add '-1' to each side of the equation.
1 + -1 + -12x = -16 + -1

Combine like terms: 1 + -1 = 0
0 + -12x = -16 + -1
-12x = -16 + -1

Combine like terms: -16 + -1 = -17
-12x = -17

Divide each side by '-12'.
x = 1.416666667

Simplifying
x = 1.416666667

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