3x-39=7x+7(2+7x)

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Solution for 3x-39=7x+7(2+7x) equation:


Simplifying
3x + -39 = 7x + 7(2 + 7x)

Reorder the terms:
-39 + 3x = 7x + 7(2 + 7x)
-39 + 3x = 7x + (2 * 7 + 7x * 7)
-39 + 3x = 7x + (14 + 49x)

Reorder the terms:
-39 + 3x = 14 + 7x + 49x

Combine like terms: 7x + 49x = 56x
-39 + 3x = 14 + 56x

Solving
-39 + 3x = 14 + 56x

Solving for variable 'x'.

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

Add '-56x' to each side of the equation.
-39 + 3x + -56x = 14 + 56x + -56x

Combine like terms: 3x + -56x = -53x
-39 + -53x = 14 + 56x + -56x

Combine like terms: 56x + -56x = 0
-39 + -53x = 14 + 0
-39 + -53x = 14

Add '39' to each side of the equation.
-39 + 39 + -53x = 14 + 39

Combine like terms: -39 + 39 = 0
0 + -53x = 14 + 39
-53x = 14 + 39

Combine like terms: 14 + 39 = 53
-53x = 53

Divide each side by '-53'.
x = -1

Simplifying
x = -1

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