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

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


Simplifying
6(x + -4) = -9(2 + -1x)

Reorder the terms:
6(-4 + x) = -9(2 + -1x)
(-4 * 6 + x * 6) = -9(2 + -1x)
(-24 + 6x) = -9(2 + -1x)
-24 + 6x = (2 * -9 + -1x * -9)
-24 + 6x = (-18 + 9x)

Solving
-24 + 6x = -18 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-24 + 6x + -9x = -18 + 9x + -9x

Combine like terms: 6x + -9x = -3x
-24 + -3x = -18 + 9x + -9x

Combine like terms: 9x + -9x = 0
-24 + -3x = -18 + 0
-24 + -3x = -18

Add '24' to each side of the equation.
-24 + 24 + -3x = -18 + 24

Combine like terms: -24 + 24 = 0
0 + -3x = -18 + 24
-3x = -18 + 24

Combine like terms: -18 + 24 = 6
-3x = 6

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

Simplifying
x = -2

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