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

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Solution for 3(2x-1)=6(-x+3) equation:


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

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

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

Solving
-3 + 6x = 18 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-3 + 6x + 6x = 18 + -6x + 6x

Combine like terms: 6x + 6x = 12x
-3 + 12x = 18 + -6x + 6x

Combine like terms: -6x + 6x = 0
-3 + 12x = 18 + 0
-3 + 12x = 18

Add '3' to each side of the equation.
-3 + 3 + 12x = 18 + 3

Combine like terms: -3 + 3 = 0
0 + 12x = 18 + 3
12x = 18 + 3

Combine like terms: 18 + 3 = 21
12x = 21

Divide each side by '12'.
x = 1.75

Simplifying
x = 1.75

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