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

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


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

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

Combine like terms: 40 + -17 = 23
23 + x + 3x = 2x + -5

Combine like terms: x + 3x = 4x
23 + 4x = 2x + -5

Reorder the terms:
23 + 4x = -5 + 2x

Solving
23 + 4x = -5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
23 + 4x + -2x = -5 + 2x + -2x

Combine like terms: 4x + -2x = 2x
23 + 2x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
23 + 2x = -5 + 0
23 + 2x = -5

Add '-23' to each side of the equation.
23 + -23 + 2x = -5 + -23

Combine like terms: 23 + -23 = 0
0 + 2x = -5 + -23
2x = -5 + -23

Combine like terms: -5 + -23 = -28
2x = -28

Divide each side by '2'.
x = -14

Simplifying
x = -14

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