3x+24=11x-38

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Solution for 3x+24=11x-38 equation:


Simplifying
3x + 24 = 11x + -38

Reorder the terms:
24 + 3x = 11x + -38

Reorder the terms:
24 + 3x = -38 + 11x

Solving
24 + 3x = -38 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
24 + 3x + -11x = -38 + 11x + -11x

Combine like terms: 3x + -11x = -8x
24 + -8x = -38 + 11x + -11x

Combine like terms: 11x + -11x = 0
24 + -8x = -38 + 0
24 + -8x = -38

Add '-24' to each side of the equation.
24 + -24 + -8x = -38 + -24

Combine like terms: 24 + -24 = 0
0 + -8x = -38 + -24
-8x = -38 + -24

Combine like terms: -38 + -24 = -62
-8x = -62

Divide each side by '-8'.
x = 7.75

Simplifying
x = 7.75

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