2x+1=5x-17

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Solution for 2x+1=5x-17 equation:


Simplifying
2x + 1 = 5x + -17

Reorder the terms:
1 + 2x = 5x + -17

Reorder the terms:
1 + 2x = -17 + 5x

Solving
1 + 2x = -17 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
1 + 2x + -5x = -17 + 5x + -5x

Combine like terms: 2x + -5x = -3x
1 + -3x = -17 + 5x + -5x

Combine like terms: 5x + -5x = 0
1 + -3x = -17 + 0
1 + -3x = -17

Add '-1' to each side of the equation.
1 + -1 + -3x = -17 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = -17 + -1
-3x = -17 + -1

Combine like terms: -17 + -1 = -18
-3x = -18

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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