7(2x-8)=2(3x-8)

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Solution for 7(2x-8)=2(3x-8) equation:


Simplifying
7(2x + -8) = 2(3x + -8)

Reorder the terms:
7(-8 + 2x) = 2(3x + -8)
(-8 * 7 + 2x * 7) = 2(3x + -8)
(-56 + 14x) = 2(3x + -8)

Reorder the terms:
-56 + 14x = 2(-8 + 3x)
-56 + 14x = (-8 * 2 + 3x * 2)
-56 + 14x = (-16 + 6x)

Solving
-56 + 14x = -16 + 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.
-56 + 14x + -6x = -16 + 6x + -6x

Combine like terms: 14x + -6x = 8x
-56 + 8x = -16 + 6x + -6x

Combine like terms: 6x + -6x = 0
-56 + 8x = -16 + 0
-56 + 8x = -16

Add '56' to each side of the equation.
-56 + 56 + 8x = -16 + 56

Combine like terms: -56 + 56 = 0
0 + 8x = -16 + 56
8x = -16 + 56

Combine like terms: -16 + 56 = 40
8x = 40

Divide each side by '8'.
x = 5

Simplifying
x = 5

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