3(2x-6)=3-4(3-x)

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Solution for 3(2x-6)=3-4(3-x) equation:


Simplifying
3(2x + -6) = 3 + -4(3 + -1x)

Reorder the terms:
3(-6 + 2x) = 3 + -4(3 + -1x)
(-6 * 3 + 2x * 3) = 3 + -4(3 + -1x)
(-18 + 6x) = 3 + -4(3 + -1x)
-18 + 6x = 3 + (3 * -4 + -1x * -4)
-18 + 6x = 3 + (-12 + 4x)

Combine like terms: 3 + -12 = -9
-18 + 6x = -9 + 4x

Solving
-18 + 6x = -9 + 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 = -9 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-18 + 2x = -9 + 4x + -4x

Combine like terms: 4x + -4x = 0
-18 + 2x = -9 + 0
-18 + 2x = -9

Add '18' to each side of the equation.
-18 + 18 + 2x = -9 + 18

Combine like terms: -18 + 18 = 0
0 + 2x = -9 + 18
2x = -9 + 18

Combine like terms: -9 + 18 = 9
2x = 9

Divide each side by '2'.
x = 4.5

Simplifying
x = 4.5

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