3x+17=11x-47

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Solution for 3x+17=11x-47 equation:


Simplifying
3x + 17 = 11x + -47

Reorder the terms:
17 + 3x = 11x + -47

Reorder the terms:
17 + 3x = -47 + 11x

Solving
17 + 3x = -47 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
17 + 3x + -11x = -47 + 11x + -11x

Combine like terms: 3x + -11x = -8x
17 + -8x = -47 + 11x + -11x

Combine like terms: 11x + -11x = 0
17 + -8x = -47 + 0
17 + -8x = -47

Add '-17' to each side of the equation.
17 + -17 + -8x = -47 + -17

Combine like terms: 17 + -17 = 0
0 + -8x = -47 + -17
-8x = -47 + -17

Combine like terms: -47 + -17 = -64
-8x = -64

Divide each side by '-8'.
x = 8

Simplifying
x = 8

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