5+(x-5+x-4)=10+16+(x-10)

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Solution for 5+(x-5+x-4)=10+16+(x-10) equation:


Simplifying
5 + (x + -5 + x + -4) = 10 + 16 + (x + -10)

Reorder the terms:
5 + (-5 + -4 + x + x) = 10 + 16 + (x + -10)

Combine like terms: -5 + -4 = -9
5 + (-9 + x + x) = 10 + 16 + (x + -10)

Combine like terms: x + x = 2x
5 + (-9 + 2x) = 10 + 16 + (x + -10)

Remove parenthesis around (-9 + 2x)
5 + -9 + 2x = 10 + 16 + (x + -10)

Combine like terms: 5 + -9 = -4
-4 + 2x = 10 + 16 + (x + -10)

Reorder the terms:
-4 + 2x = 10 + 16 + (-10 + x)

Remove parenthesis around (-10 + x)
-4 + 2x = 10 + 16 + -10 + x

Combine like terms: 10 + 16 = 26
-4 + 2x = 26 + -10 + x

Combine like terms: 26 + -10 = 16
-4 + 2x = 16 + x

Solving
-4 + 2x = 16 + 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.
-4 + 2x + -1x = 16 + x + -1x

Combine like terms: 2x + -1x = 1x
-4 + 1x = 16 + x + -1x

Combine like terms: x + -1x = 0
-4 + 1x = 16 + 0
-4 + 1x = 16

Add '4' to each side of the equation.
-4 + 4 + 1x = 16 + 4

Combine like terms: -4 + 4 = 0
0 + 1x = 16 + 4
1x = 16 + 4

Combine like terms: 16 + 4 = 20
1x = 20

Divide each side by '1'.
x = 20

Simplifying
x = 20

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