3x+(2x-3)=5-3(1-x)

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Solution for 3x+(2x-3)=5-3(1-x) equation:


Simplifying
3x + (2x + -3) = 5 + -3(1 + -1x)

Reorder the terms:
3x + (-3 + 2x) = 5 + -3(1 + -1x)

Remove parenthesis around (-3 + 2x)
3x + -3 + 2x = 5 + -3(1 + -1x)

Reorder the terms:
-3 + 3x + 2x = 5 + -3(1 + -1x)

Combine like terms: 3x + 2x = 5x
-3 + 5x = 5 + -3(1 + -1x)
-3 + 5x = 5 + (1 * -3 + -1x * -3)
-3 + 5x = 5 + (-3 + 3x)

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

Solving
-3 + 5x = 2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-3 + 5x + -3x = 2 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-3 + 2x = 2 + 0
-3 + 2x = 2

Add '3' to each side of the equation.
-3 + 3 + 2x = 2 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = 2 + 3
2x = 2 + 3

Combine like terms: 2 + 3 = 5
2x = 5

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5

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