3x-11=-4(4-x)

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


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

Reorder the terms:
-11 + 3x = -4(4 + -1x)
-11 + 3x = (4 * -4 + -1x * -4)
-11 + 3x = (-16 + 4x)

Solving
-11 + 3x = -16 + 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.
-11 + 3x + -4x = -16 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-11 + -1x = -16 + 4x + -4x

Combine like terms: 4x + -4x = 0
-11 + -1x = -16 + 0
-11 + -1x = -16

Add '11' to each side of the equation.
-11 + 11 + -1x = -16 + 11

Combine like terms: -11 + 11 = 0
0 + -1x = -16 + 11
-1x = -16 + 11

Combine like terms: -16 + 11 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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