-82=5x-4(-x+7)

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Solution for -82=5x-4(-x+7) equation:


Simplifying
-82 = 5x + -4(-1x + 7)

Reorder the terms:
-82 = 5x + -4(7 + -1x)
-82 = 5x + (7 * -4 + -1x * -4)
-82 = 5x + (-28 + 4x)

Reorder the terms:
-82 = -28 + 5x + 4x

Combine like terms: 5x + 4x = 9x
-82 = -28 + 9x

Solving
-82 = -28 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-82 + -9x = -28 + 9x + -9x

Combine like terms: 9x + -9x = 0
-82 + -9x = -28 + 0
-82 + -9x = -28

Add '82' to each side of the equation.
-82 + 82 + -9x = -28 + 82

Combine like terms: -82 + 82 = 0
0 + -9x = -28 + 82
-9x = -28 + 82

Combine like terms: -28 + 82 = 54
-9x = 54

Divide each side by '-9'.
x = -6

Simplifying
x = -6

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