105x+17=37x-20

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Solution for 105x+17=37x-20 equation:


Simplifying
105x + 17 = 37x + -20

Reorder the terms:
17 + 105x = 37x + -20

Reorder the terms:
17 + 105x = -20 + 37x

Solving
17 + 105x = -20 + 37x

Solving for variable 'x'.

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

Add '-37x' to each side of the equation.
17 + 105x + -37x = -20 + 37x + -37x

Combine like terms: 105x + -37x = 68x
17 + 68x = -20 + 37x + -37x

Combine like terms: 37x + -37x = 0
17 + 68x = -20 + 0
17 + 68x = -20

Add '-17' to each side of the equation.
17 + -17 + 68x = -20 + -17

Combine like terms: 17 + -17 = 0
0 + 68x = -20 + -17
68x = -20 + -17

Combine like terms: -20 + -17 = -37
68x = -37

Divide each side by '68'.
x = -0.5441176471

Simplifying
x = -0.5441176471

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