3x+17=15x-21

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Solution for 3x+17=15x-21 equation:


Simplifying
3x + 17 = 15x + -21

Reorder the terms:
17 + 3x = 15x + -21

Reorder the terms:
17 + 3x = -21 + 15x

Solving
17 + 3x = -21 + 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.
17 + 3x + -15x = -21 + 15x + -15x

Combine like terms: 3x + -15x = -12x
17 + -12x = -21 + 15x + -15x

Combine like terms: 15x + -15x = 0
17 + -12x = -21 + 0
17 + -12x = -21

Add '-17' to each side of the equation.
17 + -17 + -12x = -21 + -17

Combine like terms: 17 + -17 = 0
0 + -12x = -21 + -17
-12x = -21 + -17

Combine like terms: -21 + -17 = -38
-12x = -38

Divide each side by '-12'.
x = 3.166666667

Simplifying
x = 3.166666667

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