2x-4=2(2x-9)

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Solution for 2x-4=2(2x-9) equation:


Simplifying
2x + -4 = 2(2x + -9)

Reorder the terms:
-4 + 2x = 2(2x + -9)

Reorder the terms:
-4 + 2x = 2(-9 + 2x)
-4 + 2x = (-9 * 2 + 2x * 2)
-4 + 2x = (-18 + 4x)

Solving
-4 + 2x = -18 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-4 + 2x + -4x = -18 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-4 + -2x = -18 + 4x + -4x

Combine like terms: 4x + -4x = 0
-4 + -2x = -18 + 0
-4 + -2x = -18

Add '4' to each side of the equation.
-4 + 4 + -2x = -18 + 4

Combine like terms: -4 + 4 = 0
0 + -2x = -18 + 4
-2x = -18 + 4

Combine like terms: -18 + 4 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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