4(x-11)=6-x

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Solution for 4(x-11)=6-x equation:


Simplifying
4(x + -11) = 6 + -1x

Reorder the terms:
4(-11 + x) = 6 + -1x
(-11 * 4 + x * 4) = 6 + -1x
(-44 + 4x) = 6 + -1x

Solving
-44 + 4x = 6 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-44 + 4x + x = 6 + -1x + x

Combine like terms: 4x + x = 5x
-44 + 5x = 6 + -1x + x

Combine like terms: -1x + x = 0
-44 + 5x = 6 + 0
-44 + 5x = 6

Add '44' to each side of the equation.
-44 + 44 + 5x = 6 + 44

Combine like terms: -44 + 44 = 0
0 + 5x = 6 + 44
5x = 6 + 44

Combine like terms: 6 + 44 = 50
5x = 50

Divide each side by '5'.
x = 10

Simplifying
x = 10

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