2x-5+3x-17=x+40

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Solution for 2x-5+3x-17=x+40 equation:


Simplifying
2x + -5 + 3x + -17 = x + 40

Reorder the terms:
-5 + -17 + 2x + 3x = x + 40

Combine like terms: -5 + -17 = -22
-22 + 2x + 3x = x + 40

Combine like terms: 2x + 3x = 5x
-22 + 5x = x + 40

Reorder the terms:
-22 + 5x = 40 + x

Solving
-22 + 5x = 40 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-22 + 5x + -1x = 40 + x + -1x

Combine like terms: 5x + -1x = 4x
-22 + 4x = 40 + x + -1x

Combine like terms: x + -1x = 0
-22 + 4x = 40 + 0
-22 + 4x = 40

Add '22' to each side of the equation.
-22 + 22 + 4x = 40 + 22

Combine like terms: -22 + 22 = 0
0 + 4x = 40 + 22
4x = 40 + 22

Combine like terms: 40 + 22 = 62
4x = 62

Divide each side by '4'.
x = 15.5

Simplifying
x = 15.5

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