2x-(x-9)+4=2x+(x+9)-4

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Solution for 2x-(x-9)+4=2x+(x+9)-4 equation:


Simplifying
2x + -1(x + -9) + 4 = 2x + (x + 9) + -4

Reorder the terms:
2x + -1(-9 + x) + 4 = 2x + (x + 9) + -4
2x + (-9 * -1 + x * -1) + 4 = 2x + (x + 9) + -4
2x + (9 + -1x) + 4 = 2x + (x + 9) + -4

Reorder the terms:
9 + 4 + 2x + -1x = 2x + (x + 9) + -4

Combine like terms: 9 + 4 = 13
13 + 2x + -1x = 2x + (x + 9) + -4

Combine like terms: 2x + -1x = 1x
13 + 1x = 2x + (x + 9) + -4

Reorder the terms:
13 + 1x = 2x + (9 + x) + -4

Remove parenthesis around (9 + x)
13 + 1x = 2x + 9 + x + -4

Reorder the terms:
13 + 1x = 9 + -4 + 2x + x

Combine like terms: 9 + -4 = 5
13 + 1x = 5 + 2x + x

Combine like terms: 2x + x = 3x
13 + 1x = 5 + 3x

Solving
13 + 1x = 5 + 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.
13 + 1x + -3x = 5 + 3x + -3x

Combine like terms: 1x + -3x = -2x
13 + -2x = 5 + 3x + -3x

Combine like terms: 3x + -3x = 0
13 + -2x = 5 + 0
13 + -2x = 5

Add '-13' to each side of the equation.
13 + -13 + -2x = 5 + -13

Combine like terms: 13 + -13 = 0
0 + -2x = 5 + -13
-2x = 5 + -13

Combine like terms: 5 + -13 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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