2x-8(3x+7)=-100

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Solution for 2x-8(3x+7)=-100 equation:


Simplifying
2x + -8(3x + 7) = -100

Reorder the terms:
2x + -8(7 + 3x) = -100
2x + (7 * -8 + 3x * -8) = -100
2x + (-56 + -24x) = -100

Reorder the terms:
-56 + 2x + -24x = -100

Combine like terms: 2x + -24x = -22x
-56 + -22x = -100

Solving
-56 + -22x = -100

Solving for variable 'x'.

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

Add '56' to each side of the equation.
-56 + 56 + -22x = -100 + 56

Combine like terms: -56 + 56 = 0
0 + -22x = -100 + 56
-22x = -100 + 56

Combine like terms: -100 + 56 = -44
-22x = -44

Divide each side by '-22'.
x = 2

Simplifying
x = 2

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