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

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


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

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

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

Solving
-3 + 1x = 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 + 1x + 6x = 18 + -6x + 6x

Combine like terms: 1x + 6x = 7x
-3 + 7x = 18 + -6x + 6x

Combine like terms: -6x + 6x = 0
-3 + 7x = 18 + 0
-3 + 7x = 18

Add '3' to each side of the equation.
-3 + 3 + 7x = 18 + 3

Combine like terms: -3 + 3 = 0
0 + 7x = 18 + 3
7x = 18 + 3

Combine like terms: 18 + 3 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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