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

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


Simplifying
4 + -2(x + 9) = -1(5 + -1x)

Reorder the terms:
4 + -2(9 + x) = -1(5 + -1x)
4 + (9 * -2 + x * -2) = -1(5 + -1x)
4 + (-18 + -2x) = -1(5 + -1x)

Combine like terms: 4 + -18 = -14
-14 + -2x = -1(5 + -1x)
-14 + -2x = (5 * -1 + -1x * -1)
-14 + -2x = (-5 + 1x)

Solving
-14 + -2x = -5 + 1x

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.
-14 + -2x + -1x = -5 + 1x + -1x

Combine like terms: -2x + -1x = -3x
-14 + -3x = -5 + 1x + -1x

Combine like terms: 1x + -1x = 0
-14 + -3x = -5 + 0
-14 + -3x = -5

Add '14' to each side of the equation.
-14 + 14 + -3x = -5 + 14

Combine like terms: -14 + 14 = 0
0 + -3x = -5 + 14
-3x = -5 + 14

Combine like terms: -5 + 14 = 9
-3x = 9

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

Simplifying
x = -3

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