6x+17=4x-31

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Solution for 6x+17=4x-31 equation:


Simplifying
6x + 17 = 4x + -31

Reorder the terms:
17 + 6x = 4x + -31

Reorder the terms:
17 + 6x = -31 + 4x

Solving
17 + 6x = -31 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
17 + 6x + -4x = -31 + 4x + -4x

Combine like terms: 6x + -4x = 2x
17 + 2x = -31 + 4x + -4x

Combine like terms: 4x + -4x = 0
17 + 2x = -31 + 0
17 + 2x = -31

Add '-17' to each side of the equation.
17 + -17 + 2x = -31 + -17

Combine like terms: 17 + -17 = 0
0 + 2x = -31 + -17
2x = -31 + -17

Combine like terms: -31 + -17 = -48
2x = -48

Divide each side by '2'.
x = -24

Simplifying
x = -24

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