x-3=2(2-3x)

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


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

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

Solving
-3 + x = 4 + -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 + x + 6x = 4 + -6x + 6x

Combine like terms: x + 6x = 7x
-3 + 7x = 4 + -6x + 6x

Combine like terms: -6x + 6x = 0
-3 + 7x = 4 + 0
-3 + 7x = 4

Add '3' to each side of the equation.
-3 + 3 + 7x = 4 + 3

Combine like terms: -3 + 3 = 0
0 + 7x = 4 + 3
7x = 4 + 3

Combine like terms: 4 + 3 = 7
7x = 7

Divide each side by '7'.
x = 1

Simplifying
x = 1

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