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

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


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

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

Reorder the terms:
-4 + 2x = 2(7 + 4x)
-4 + 2x = (7 * 2 + 4x * 2)
-4 + 2x = (14 + 8x)

Solving
-4 + 2x = 14 + 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.
-4 + 2x + -8x = 14 + 8x + -8x

Combine like terms: 2x + -8x = -6x
-4 + -6x = 14 + 8x + -8x

Combine like terms: 8x + -8x = 0
-4 + -6x = 14 + 0
-4 + -6x = 14

Add '4' to each side of the equation.
-4 + 4 + -6x = 14 + 4

Combine like terms: -4 + 4 = 0
0 + -6x = 14 + 4
-6x = 14 + 4

Combine like terms: 14 + 4 = 18
-6x = 18

Divide each side by '-6'.
x = -3

Simplifying
x = -3

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