30-2(x-4)=2-11x

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Solution for 30-2(x-4)=2-11x equation:


Simplifying
30 + -2(x + -4) = 2 + -11x

Reorder the terms:
30 + -2(-4 + x) = 2 + -11x
30 + (-4 * -2 + x * -2) = 2 + -11x
30 + (8 + -2x) = 2 + -11x

Combine like terms: 30 + 8 = 38
38 + -2x = 2 + -11x

Solving
38 + -2x = 2 + -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.
38 + -2x + 11x = 2 + -11x + 11x

Combine like terms: -2x + 11x = 9x
38 + 9x = 2 + -11x + 11x

Combine like terms: -11x + 11x = 0
38 + 9x = 2 + 0
38 + 9x = 2

Add '-38' to each side of the equation.
38 + -38 + 9x = 2 + -38

Combine like terms: 38 + -38 = 0
0 + 9x = 2 + -38
9x = 2 + -38

Combine like terms: 2 + -38 = -36
9x = -36

Divide each side by '9'.
x = -4

Simplifying
x = -4

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