-7(x-4)-5x=100

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Solution for -7(x-4)-5x=100 equation:


Simplifying
-7(x + -4) + -5x = 100

Reorder the terms:
-7(-4 + x) + -5x = 100
(-4 * -7 + x * -7) + -5x = 100
(28 + -7x) + -5x = 100

Combine like terms: -7x + -5x = -12x
28 + -12x = 100

Solving
28 + -12x = 100

Solving for variable 'x'.

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

Add '-28' to each side of the equation.
28 + -28 + -12x = 100 + -28

Combine like terms: 28 + -28 = 0
0 + -12x = 100 + -28
-12x = 100 + -28

Combine like terms: 100 + -28 = 72
-12x = 72

Divide each side by '-12'.
x = -6

Simplifying
x = -6

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