5x-2=7(2x-8)

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Solution for 5x-2=7(2x-8) equation:


Simplifying
5x + -2 = 7(2x + -8)

Reorder the terms:
-2 + 5x = 7(2x + -8)

Reorder the terms:
-2 + 5x = 7(-8 + 2x)
-2 + 5x = (-8 * 7 + 2x * 7)
-2 + 5x = (-56 + 14x)

Solving
-2 + 5x = -56 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-2 + 5x + -14x = -56 + 14x + -14x

Combine like terms: 5x + -14x = -9x
-2 + -9x = -56 + 14x + -14x

Combine like terms: 14x + -14x = 0
-2 + -9x = -56 + 0
-2 + -9x = -56

Add '2' to each side of the equation.
-2 + 2 + -9x = -56 + 2

Combine like terms: -2 + 2 = 0
0 + -9x = -56 + 2
-9x = -56 + 2

Combine like terms: -56 + 2 = -54
-9x = -54

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

Simplifying
x = 6

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