6x+20=14x-17

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Solution for 6x+20=14x-17 equation:


Simplifying
6x + 20 = 14x + -17

Reorder the terms:
20 + 6x = 14x + -17

Reorder the terms:
20 + 6x = -17 + 14x

Solving
20 + 6x = -17 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
20 + 6x + -14x = -17 + 14x + -14x

Combine like terms: 6x + -14x = -8x
20 + -8x = -17 + 14x + -14x

Combine like terms: 14x + -14x = 0
20 + -8x = -17 + 0
20 + -8x = -17

Add '-20' to each side of the equation.
20 + -20 + -8x = -17 + -20

Combine like terms: 20 + -20 = 0
0 + -8x = -17 + -20
-8x = -17 + -20

Combine like terms: -17 + -20 = -37
-8x = -37

Divide each side by '-8'.
x = 4.625

Simplifying
x = 4.625

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