3x+4=11x-5

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Solution for 3x+4=11x-5 equation:


Simplifying
3x + 4 = 11x + -5

Reorder the terms:
4 + 3x = 11x + -5

Reorder the terms:
4 + 3x = -5 + 11x

Solving
4 + 3x = -5 + 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.
4 + 3x + -11x = -5 + 11x + -11x

Combine like terms: 3x + -11x = -8x
4 + -8x = -5 + 11x + -11x

Combine like terms: 11x + -11x = 0
4 + -8x = -5 + 0
4 + -8x = -5

Add '-4' to each side of the equation.
4 + -4 + -8x = -5 + -4

Combine like terms: 4 + -4 = 0
0 + -8x = -5 + -4
-8x = -5 + -4

Combine like terms: -5 + -4 = -9
-8x = -9

Divide each side by '-8'.
x = 1.125

Simplifying
x = 1.125

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