2(x-9)=4(x-6)

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Solution for 2(x-9)=4(x-6) equation:


Simplifying
2(x + -9) = 4(x + -6)

Reorder the terms:
2(-9 + x) = 4(x + -6)
(-9 * 2 + x * 2) = 4(x + -6)
(-18 + 2x) = 4(x + -6)

Reorder the terms:
-18 + 2x = 4(-6 + x)
-18 + 2x = (-6 * 4 + x * 4)
-18 + 2x = (-24 + 4x)

Solving
-18 + 2x = -24 + 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.
-18 + 2x + -4x = -24 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-18 + -2x = -24 + 4x + -4x

Combine like terms: 4x + -4x = 0
-18 + -2x = -24 + 0
-18 + -2x = -24

Add '18' to each side of the equation.
-18 + 18 + -2x = -24 + 18

Combine like terms: -18 + 18 = 0
0 + -2x = -24 + 18
-2x = -24 + 18

Combine like terms: -24 + 18 = -6
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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