5-2(x-4)=7+x-9

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Solution for 5-2(x-4)=7+x-9 equation:


Simplifying
5 + -2(x + -4) = 7 + x + -9

Reorder the terms:
5 + -2(-4 + x) = 7 + x + -9
5 + (-4 * -2 + x * -2) = 7 + x + -9
5 + (8 + -2x) = 7 + x + -9

Combine like terms: 5 + 8 = 13
13 + -2x = 7 + x + -9

Reorder the terms:
13 + -2x = 7 + -9 + x

Combine like terms: 7 + -9 = -2
13 + -2x = -2 + x

Solving
13 + -2x = -2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
13 + -2x + -1x = -2 + x + -1x

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

Combine like terms: x + -1x = 0
13 + -3x = -2 + 0
13 + -3x = -2

Add '-13' to each side of the equation.
13 + -13 + -3x = -2 + -13

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

Combine like terms: -2 + -13 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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