2(x-7)=30-9x

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Solution for 2(x-7)=30-9x equation:


Simplifying
2(x + -7) = 30 + -9x

Reorder the terms:
2(-7 + x) = 30 + -9x
(-7 * 2 + x * 2) = 30 + -9x
(-14 + 2x) = 30 + -9x

Solving
-14 + 2x = 30 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-14 + 2x + 9x = 30 + -9x + 9x

Combine like terms: 2x + 9x = 11x
-14 + 11x = 30 + -9x + 9x

Combine like terms: -9x + 9x = 0
-14 + 11x = 30 + 0
-14 + 11x = 30

Add '14' to each side of the equation.
-14 + 14 + 11x = 30 + 14

Combine like terms: -14 + 14 = 0
0 + 11x = 30 + 14
11x = 30 + 14

Combine like terms: 30 + 14 = 44
11x = 44

Divide each side by '11'.
x = 4

Simplifying
x = 4

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