(6-x)-(x-4)=100

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Solution for (6-x)-(x-4)=100 equation:


Simplifying
(6 + -1x) + -1(x + -4) = 100

Remove parenthesis around (6 + -1x)
6 + -1x + -1(x + -4) = 100

Reorder the terms:
6 + -1x + -1(-4 + x) = 100
6 + -1x + (-4 * -1 + x * -1) = 100
6 + -1x + (4 + -1x) = 100

Reorder the terms:
6 + 4 + -1x + -1x = 100

Combine like terms: 6 + 4 = 10
10 + -1x + -1x = 100

Combine like terms: -1x + -1x = -2x
10 + -2x = 100

Solving
10 + -2x = 100

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + -2x = 100 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = 100 + -10
-2x = 100 + -10

Combine like terms: 100 + -10 = 90
-2x = 90

Divide each side by '-2'.
x = -45

Simplifying
x = -45

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