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

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


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

Reorder the terms:
2(-9 + 4x) = (x + -4)
(-9 * 2 + 4x * 2) = (x + -4)
(-18 + 8x) = (x + -4)

Reorder the terms:
-18 + 8x = (-4 + x)

Remove parenthesis around (-4 + x)
-18 + 8x = -4 + x

Solving
-18 + 8x = -4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-18 + 8x + -1x = -4 + x + -1x

Combine like terms: 8x + -1x = 7x
-18 + 7x = -4 + x + -1x

Combine like terms: x + -1x = 0
-18 + 7x = -4 + 0
-18 + 7x = -4

Add '18' to each side of the equation.
-18 + 18 + 7x = -4 + 18

Combine like terms: -18 + 18 = 0
0 + 7x = -4 + 18
7x = -4 + 18

Combine like terms: -4 + 18 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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