3=3(x-3)+5-2x

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Solution for 3=3(x-3)+5-2x equation:


Simplifying
3 = 3(x + -3) + 5 + -2x

Reorder the terms:
3 = 3(-3 + x) + 5 + -2x
3 = (-3 * 3 + x * 3) + 5 + -2x
3 = (-9 + 3x) + 5 + -2x

Reorder the terms:
3 = -9 + 5 + 3x + -2x

Combine like terms: -9 + 5 = -4
3 = -4 + 3x + -2x

Combine like terms: 3x + -2x = 1x
3 = -4 + 1x

Solving
3 = -4 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
3 + -1x = -4 + 1x + -1x

Combine like terms: 1x + -1x = 0
3 + -1x = -4 + 0
3 + -1x = -4

Add '-3' to each side of the equation.
3 + -3 + -1x = -4 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = -4 + -3
-1x = -4 + -3

Combine like terms: -4 + -3 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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