2x+17=7x-23

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Solution for 2x+17=7x-23 equation:


Simplifying
2x + 17 = 7x + -23

Reorder the terms:
17 + 2x = 7x + -23

Reorder the terms:
17 + 2x = -23 + 7x

Solving
17 + 2x = -23 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
17 + 2x + -7x = -23 + 7x + -7x

Combine like terms: 2x + -7x = -5x
17 + -5x = -23 + 7x + -7x

Combine like terms: 7x + -7x = 0
17 + -5x = -23 + 0
17 + -5x = -23

Add '-17' to each side of the equation.
17 + -17 + -5x = -23 + -17

Combine like terms: 17 + -17 = 0
0 + -5x = -23 + -17
-5x = -23 + -17

Combine like terms: -23 + -17 = -40
-5x = -40

Divide each side by '-5'.
x = 8

Simplifying
x = 8

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