3x+1=11x-24

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Solution for 3x+1=11x-24 equation:


Simplifying
3x + 1 = 11x + -24

Reorder the terms:
1 + 3x = 11x + -24

Reorder the terms:
1 + 3x = -24 + 11x

Solving
1 + 3x = -24 + 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.
1 + 3x + -11x = -24 + 11x + -11x

Combine like terms: 3x + -11x = -8x
1 + -8x = -24 + 11x + -11x

Combine like terms: 11x + -11x = 0
1 + -8x = -24 + 0
1 + -8x = -24

Add '-1' to each side of the equation.
1 + -1 + -8x = -24 + -1

Combine like terms: 1 + -1 = 0
0 + -8x = -24 + -1
-8x = -24 + -1

Combine like terms: -24 + -1 = -25
-8x = -25

Divide each side by '-8'.
x = 3.125

Simplifying
x = 3.125

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