6(x-3)=2(13-x)

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Solution for 6(x-3)=2(13-x) equation:


Simplifying
6(x + -3) = 2(13 + -1x)

Reorder the terms:
6(-3 + x) = 2(13 + -1x)
(-3 * 6 + x * 6) = 2(13 + -1x)
(-18 + 6x) = 2(13 + -1x)
-18 + 6x = (13 * 2 + -1x * 2)
-18 + 6x = (26 + -2x)

Solving
-18 + 6x = 26 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-18 + 6x + 2x = 26 + -2x + 2x

Combine like terms: 6x + 2x = 8x
-18 + 8x = 26 + -2x + 2x

Combine like terms: -2x + 2x = 0
-18 + 8x = 26 + 0
-18 + 8x = 26

Add '18' to each side of the equation.
-18 + 18 + 8x = 26 + 18

Combine like terms: -18 + 18 = 0
0 + 8x = 26 + 18
8x = 26 + 18

Combine like terms: 26 + 18 = 44
8x = 44

Divide each side by '8'.
x = 5.5

Simplifying
x = 5.5

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