37-(2x+9)=2(x+9)+x

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Solution for 37-(2x+9)=2(x+9)+x equation:


Simplifying
37 + -1(2x + 9) = 2(x + 9) + x

Reorder the terms:
37 + -1(9 + 2x) = 2(x + 9) + x
37 + (9 * -1 + 2x * -1) = 2(x + 9) + x
37 + (-9 + -2x) = 2(x + 9) + x

Combine like terms: 37 + -9 = 28
28 + -2x = 2(x + 9) + x

Reorder the terms:
28 + -2x = 2(9 + x) + x
28 + -2x = (9 * 2 + x * 2) + x
28 + -2x = (18 + 2x) + x

Combine like terms: 2x + x = 3x
28 + -2x = 18 + 3x

Solving
28 + -2x = 18 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
28 + -2x + -3x = 18 + 3x + -3x

Combine like terms: -2x + -3x = -5x
28 + -5x = 18 + 3x + -3x

Combine like terms: 3x + -3x = 0
28 + -5x = 18 + 0
28 + -5x = 18

Add '-28' to each side of the equation.
28 + -28 + -5x = 18 + -28

Combine like terms: 28 + -28 = 0
0 + -5x = 18 + -28
-5x = 18 + -28

Combine like terms: 18 + -28 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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