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

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Solution for (10-x)-7=-(2x+4)-9 equation:


Simplifying
(10 + -1x) + -7 = -1(2x + 4) + -9

Remove parenthesis around (10 + -1x)
10 + -1x + -7 = -1(2x + 4) + -9

Reorder the terms:
10 + -7 + -1x = -1(2x + 4) + -9

Combine like terms: 10 + -7 = 3
3 + -1x = -1(2x + 4) + -9

Reorder the terms:
3 + -1x = -1(4 + 2x) + -9
3 + -1x = (4 * -1 + 2x * -1) + -9
3 + -1x = (-4 + -2x) + -9

Reorder the terms:
3 + -1x = -4 + -9 + -2x

Combine like terms: -4 + -9 = -13
3 + -1x = -13 + -2x

Solving
3 + -1x = -13 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
3 + -1x + 2x = -13 + -2x + 2x

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

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

Add '-3' to each side of the equation.
3 + -3 + 1x = -13 + -3

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

Combine like terms: -13 + -3 = -16
1x = -16

Divide each side by '1'.
x = -16

Simplifying
x = -16

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