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

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


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

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

Remove parenthesis around (-2 + x)
-2 + x + (3x + -3) = X + 3

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

Remove parenthesis around (-3 + 3x)
-2 + x + -3 + 3x = X + 3

Reorder the terms:
-2 + -3 + x + 3x = X + 3

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

Combine like terms: x + 3x = 4x
-5 + 4x = X + 3

Reorder the terms:
-5 + 4x = 3 + X

Solving
-5 + 4x = 3 + X

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 4x = 3 + 5 + X

Combine like terms: -5 + 5 = 0
0 + 4x = 3 + 5 + X
4x = 3 + 5 + X

Combine like terms: 3 + 5 = 8
4x = 8 + X

Divide each side by '4'.
x = 2 + 0.25X

Simplifying
x = 2 + 0.25X

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