3x-4=11(4-x)

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Solution for 3x-4=11(4-x) equation:


Simplifying
3x + -4 = 11(4 + -1x)

Reorder the terms:
-4 + 3x = 11(4 + -1x)
-4 + 3x = (4 * 11 + -1x * 11)
-4 + 3x = (44 + -11x)

Solving
-4 + 3x = 44 + -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 = 44 + -11x + 11x

Combine like terms: 3x + 11x = 14x
-4 + 14x = 44 + -11x + 11x

Combine like terms: -11x + 11x = 0
-4 + 14x = 44 + 0
-4 + 14x = 44

Add '4' to each side of the equation.
-4 + 4 + 14x = 44 + 4

Combine like terms: -4 + 4 = 0
0 + 14x = 44 + 4
14x = 44 + 4

Combine like terms: 44 + 4 = 48
14x = 48

Divide each side by '14'.
x = 3.428571429

Simplifying
x = 3.428571429

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