7(2x-4)=2(x+4)

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Solution for 7(2x-4)=2(x+4) equation:


Simplifying
7(2x + -4) = 2(x + 4)

Reorder the terms:
7(-4 + 2x) = 2(x + 4)
(-4 * 7 + 2x * 7) = 2(x + 4)
(-28 + 14x) = 2(x + 4)

Reorder the terms:
-28 + 14x = 2(4 + x)
-28 + 14x = (4 * 2 + x * 2)
-28 + 14x = (8 + 2x)

Solving
-28 + 14x = 8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-28 + 14x + -2x = 8 + 2x + -2x

Combine like terms: 14x + -2x = 12x
-28 + 12x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-28 + 12x = 8 + 0
-28 + 12x = 8

Add '28' to each side of the equation.
-28 + 28 + 12x = 8 + 28

Combine like terms: -28 + 28 = 0
0 + 12x = 8 + 28
12x = 8 + 28

Combine like terms: 8 + 28 = 36
12x = 36

Divide each side by '12'.
x = 3

Simplifying
x = 3

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