3x-39=-6(x-4)

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Solution for 3x-39=-6(x-4) equation:


Simplifying
3x + -39 = -6(x + -4)

Reorder the terms:
-39 + 3x = -6(x + -4)

Reorder the terms:
-39 + 3x = -6(-4 + x)
-39 + 3x = (-4 * -6 + x * -6)
-39 + 3x = (24 + -6x)

Solving
-39 + 3x = 24 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-39 + 3x + 6x = 24 + -6x + 6x

Combine like terms: 3x + 6x = 9x
-39 + 9x = 24 + -6x + 6x

Combine like terms: -6x + 6x = 0
-39 + 9x = 24 + 0
-39 + 9x = 24

Add '39' to each side of the equation.
-39 + 39 + 9x = 24 + 39

Combine like terms: -39 + 39 = 0
0 + 9x = 24 + 39
9x = 24 + 39

Combine like terms: 24 + 39 = 63
9x = 63

Divide each side by '9'.
x = 7

Simplifying
x = 7

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