(x-11)-(x+10)=10x

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Solution for (x-11)-(x+10)=10x equation:


Simplifying
(x + -11) + -1(x + 10) = 10x

Reorder the terms:
(-11 + x) + -1(x + 10) = 10x

Remove parenthesis around (-11 + x)
-11 + x + -1(x + 10) = 10x

Reorder the terms:
-11 + x + -1(10 + x) = 10x
-11 + x + (10 * -1 + x * -1) = 10x
-11 + x + (-10 + -1x) = 10x

Reorder the terms:
-11 + -10 + x + -1x = 10x

Combine like terms: -11 + -10 = -21
-21 + x + -1x = 10x

Combine like terms: x + -1x = 0
-21 + 0 = 10x
-21 = 10x

Solving
-21 = 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-21 + -10x = 10x + -10x

Combine like terms: 10x + -10x = 0
-21 + -10x = 0

Add '21' to each side of the equation.
-21 + 21 + -10x = 0 + 21

Combine like terms: -21 + 21 = 0
0 + -10x = 0 + 21
-10x = 0 + 21

Combine like terms: 0 + 21 = 21
-10x = 21

Divide each side by '-10'.
x = -2.1

Simplifying
x = -2.1

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