3x+24=4x-17

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Solution for 3x+24=4x-17 equation:


Simplifying
3x + 24 = 4x + -17

Reorder the terms:
24 + 3x = 4x + -17

Reorder the terms:
24 + 3x = -17 + 4x

Solving
24 + 3x = -17 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
24 + 3x + -4x = -17 + 4x + -4x

Combine like terms: 3x + -4x = -1x
24 + -1x = -17 + 4x + -4x

Combine like terms: 4x + -4x = 0
24 + -1x = -17 + 0
24 + -1x = -17

Add '-24' to each side of the equation.
24 + -24 + -1x = -17 + -24

Combine like terms: 24 + -24 = 0
0 + -1x = -17 + -24
-1x = -17 + -24

Combine like terms: -17 + -24 = -41
-1x = -41

Divide each side by '-1'.
x = 41

Simplifying
x = 41

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