3(x-3)=8-x

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Solution for 3(x-3)=8-x equation:


Simplifying
3(x + -3) = 8 + -1x

Reorder the terms:
3(-3 + x) = 8 + -1x
(-3 * 3 + x * 3) = 8 + -1x
(-9 + 3x) = 8 + -1x

Solving
-9 + 3x = 8 + -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 + 3x + x = 8 + -1x + x

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

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

Add '9' to each side of the equation.
-9 + 9 + 4x = 8 + 9

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

Combine like terms: 8 + 9 = 17
4x = 17

Divide each side by '4'.
x = 4.25

Simplifying
x = 4.25

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