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

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Solution for 10+(x+2)=5-(x+4) equation:


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

Reorder the terms:
10 + (2 + x) = 5 + -1(x + 4)

Remove parenthesis around (2 + x)
10 + 2 + x = 5 + -1(x + 4)

Combine like terms: 10 + 2 = 12
12 + x = 5 + -1(x + 4)

Reorder the terms:
12 + x = 5 + -1(4 + x)
12 + x = 5 + (4 * -1 + x * -1)
12 + x = 5 + (-4 + -1x)

Combine like terms: 5 + -4 = 1
12 + x = 1 + -1x

Solving
12 + x = 1 + -1x

Solving for variable 'x'.

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

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

Combine like terms: x + x = 2x
12 + 2x = 1 + -1x + x

Combine like terms: -1x + x = 0
12 + 2x = 1 + 0
12 + 2x = 1

Add '-12' to each side of the equation.
12 + -12 + 2x = 1 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = 1 + -12
2x = 1 + -12

Combine like terms: 1 + -12 = -11
2x = -11

Divide each side by '2'.
x = -5.5

Simplifying
x = -5.5

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