3(x-3)=2(2x-4)

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Solution for 3(x-3)=2(2x-4) equation:


Simplifying
3(x + -3) = 2(2x + -4)

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

Reorder the terms:
-9 + 3x = 2(-4 + 2x)
-9 + 3x = (-4 * 2 + 2x * 2)
-9 + 3x = (-8 + 4x)

Solving
-9 + 3x = -8 + 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.
-9 + 3x + -4x = -8 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-9 + -1x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-9 + -1x = -8 + 0
-9 + -1x = -8

Add '9' to each side of the equation.
-9 + 9 + -1x = -8 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = -8 + 9
-1x = -8 + 9

Combine like terms: -8 + 9 = 1
-1x = 1

Divide each side by '-1'.
x = -1

Simplifying
x = -1

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