6(x-3)=2(9-2x)

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Solution for 6(x-3)=2(9-2x) equation:


Simplifying
6(x + -3) = 2(9 + -2x)

Reorder the terms:
6(-3 + x) = 2(9 + -2x)
(-3 * 6 + x * 6) = 2(9 + -2x)
(-18 + 6x) = 2(9 + -2x)
-18 + 6x = (9 * 2 + -2x * 2)
-18 + 6x = (18 + -4x)

Solving
-18 + 6x = 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.
-18 + 6x + 4x = 18 + -4x + 4x

Combine like terms: 6x + 4x = 10x
-18 + 10x = 18 + -4x + 4x

Combine like terms: -4x + 4x = 0
-18 + 10x = 18 + 0
-18 + 10x = 18

Add '18' to each side of the equation.
-18 + 18 + 10x = 18 + 18

Combine like terms: -18 + 18 = 0
0 + 10x = 18 + 18
10x = 18 + 18

Combine like terms: 18 + 18 = 36
10x = 36

Divide each side by '10'.
x = 3.6

Simplifying
x = 3.6

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