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

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Solution for 3+(2x-1)=4-(3x-3) equation:


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

Reorder the terms:
3 + (-1 + 2x) = 4 + -1(3x + -3)

Remove parenthesis around (-1 + 2x)
3 + -1 + 2x = 4 + -1(3x + -3)

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

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

Combine like terms: 4 + 3 = 7
2 + 2x = 7 + -3x

Solving
2 + 2x = 7 + -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.
2 + 2x + 3x = 7 + -3x + 3x

Combine like terms: 2x + 3x = 5x
2 + 5x = 7 + -3x + 3x

Combine like terms: -3x + 3x = 0
2 + 5x = 7 + 0
2 + 5x = 7

Add '-2' to each side of the equation.
2 + -2 + 5x = 7 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 7 + -2
5x = 7 + -2

Combine like terms: 7 + -2 = 5
5x = 5

Divide each side by '5'.
x = 1

Simplifying
x = 1

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