84=7-7(x-3)

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Solution for 84=7-7(x-3) equation:


Simplifying
84 = 7 + -7(x + -3)

Reorder the terms:
84 = 7 + -7(-3 + x)
84 = 7 + (-3 * -7 + x * -7)
84 = 7 + (21 + -7x)

Combine like terms: 7 + 21 = 28
84 = 28 + -7x

Solving
84 = 28 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
84 + 7x = 28 + -7x + 7x

Combine like terms: -7x + 7x = 0
84 + 7x = 28 + 0
84 + 7x = 28

Add '-84' to each side of the equation.
84 + -84 + 7x = 28 + -84

Combine like terms: 84 + -84 = 0
0 + 7x = 28 + -84
7x = 28 + -84

Combine like terms: 28 + -84 = -56
7x = -56

Divide each side by '7'.
x = -8

Simplifying
x = -8

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