3(x-11)=7-x

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Solution for 3(x-11)=7-x equation:


Simplifying
3(x + -11) = 7 + -1x

Reorder the terms:
3(-11 + x) = 7 + -1x
(-11 * 3 + x * 3) = 7 + -1x
(-33 + 3x) = 7 + -1x

Solving
-33 + 3x = 7 + -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.
-33 + 3x + x = 7 + -1x + x

Combine like terms: 3x + x = 4x
-33 + 4x = 7 + -1x + x

Combine like terms: -1x + x = 0
-33 + 4x = 7 + 0
-33 + 4x = 7

Add '33' to each side of the equation.
-33 + 33 + 4x = 7 + 33

Combine like terms: -33 + 33 = 0
0 + 4x = 7 + 33
4x = 7 + 33

Combine like terms: 7 + 33 = 40
4x = 40

Divide each side by '4'.
x = 10

Simplifying
x = 10

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