3x+17=10x-47

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Solution for 3x+17=10x-47 equation:


Simplifying
3x + 17 = 10x + -47

Reorder the terms:
17 + 3x = 10x + -47

Reorder the terms:
17 + 3x = -47 + 10x

Solving
17 + 3x = -47 + 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.
17 + 3x + -10x = -47 + 10x + -10x

Combine like terms: 3x + -10x = -7x
17 + -7x = -47 + 10x + -10x

Combine like terms: 10x + -10x = 0
17 + -7x = -47 + 0
17 + -7x = -47

Add '-17' to each side of the equation.
17 + -17 + -7x = -47 + -17

Combine like terms: 17 + -17 = 0
0 + -7x = -47 + -17
-7x = -47 + -17

Combine like terms: -47 + -17 = -64
-7x = -64

Divide each side by '-7'.
x = 9.142857143

Simplifying
x = 9.142857143

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