3(2x-3)=7-x

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Solution for 3(2x-3)=7-x equation:


Simplifying
3(2x + -3) = 7 + -1x

Reorder the terms:
3(-3 + 2x) = 7 + -1x
(-3 * 3 + 2x * 3) = 7 + -1x
(-9 + 6x) = 7 + -1x

Solving
-9 + 6x = 7 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-9 + 6x + x = 7 + -1x + x

Combine like terms: 6x + x = 7x
-9 + 7x = 7 + -1x + x

Combine like terms: -1x + x = 0
-9 + 7x = 7 + 0
-9 + 7x = 7

Add '9' to each side of the equation.
-9 + 9 + 7x = 7 + 9

Combine like terms: -9 + 9 = 0
0 + 7x = 7 + 9
7x = 7 + 9

Combine like terms: 7 + 9 = 16
7x = 16

Divide each side by '7'.
x = 2.285714286

Simplifying
x = 2.285714286

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