3(2x-7)=(2+4x)2

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Solution for 3(2x-7)=(2+4x)2 equation:


Simplifying
3(2x + -7) = (2 + 4x) * 2

Reorder the terms:
3(-7 + 2x) = (2 + 4x) * 2
(-7 * 3 + 2x * 3) = (2 + 4x) * 2
(-21 + 6x) = (2 + 4x) * 2

Reorder the terms for easier multiplication:
-21 + 6x = 2(2 + 4x)
-21 + 6x = (2 * 2 + 4x * 2)
-21 + 6x = (4 + 8x)

Solving
-21 + 6x = 4 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-21 + 6x + -8x = 4 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-21 + -2x = 4 + 8x + -8x

Combine like terms: 8x + -8x = 0
-21 + -2x = 4 + 0
-21 + -2x = 4

Add '21' to each side of the equation.
-21 + 21 + -2x = 4 + 21

Combine like terms: -21 + 21 = 0
0 + -2x = 4 + 21
-2x = 4 + 21

Combine like terms: 4 + 21 = 25
-2x = 25

Divide each side by '-2'.
x = -12.5

Simplifying
x = -12.5

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