12(-82x+26)=84(-2x+64)

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Solution for 12(-82x+26)=84(-2x+64) equation:


Simplifying
12(-82x + 26) = 84(-2x + 64)

Reorder the terms:
12(26 + -82x) = 84(-2x + 64)
(26 * 12 + -82x * 12) = 84(-2x + 64)
(312 + -984x) = 84(-2x + 64)

Reorder the terms:
312 + -984x = 84(64 + -2x)
312 + -984x = (64 * 84 + -2x * 84)
312 + -984x = (5376 + -168x)

Solving
312 + -984x = 5376 + -168x

Solving for variable 'x'.

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

Add '168x' to each side of the equation.
312 + -984x + 168x = 5376 + -168x + 168x

Combine like terms: -984x + 168x = -816x
312 + -816x = 5376 + -168x + 168x

Combine like terms: -168x + 168x = 0
312 + -816x = 5376 + 0
312 + -816x = 5376

Add '-312' to each side of the equation.
312 + -312 + -816x = 5376 + -312

Combine like terms: 312 + -312 = 0
0 + -816x = 5376 + -312
-816x = 5376 + -312

Combine like terms: 5376 + -312 = 5064
-816x = 5064

Divide each side by '-816'.
x = -6.205882353

Simplifying
x = -6.205882353

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