(x-3)+2x=-(x-5)+4

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Solution for (x-3)+2x=-(x-5)+4 equation:


Simplifying
(x + -3) + 2x = -1(x + -5) + 4

Reorder the terms:
(-3 + x) + 2x = -1(x + -5) + 4

Remove parenthesis around (-3 + x)
-3 + x + 2x = -1(x + -5) + 4

Combine like terms: x + 2x = 3x
-3 + 3x = -1(x + -5) + 4

Reorder the terms:
-3 + 3x = -1(-5 + x) + 4
-3 + 3x = (-5 * -1 + x * -1) + 4
-3 + 3x = (5 + -1x) + 4

Reorder the terms:
-3 + 3x = 5 + 4 + -1x

Combine like terms: 5 + 4 = 9
-3 + 3x = 9 + -1x

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

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

Combine like terms: -1x + x = 0
-3 + 4x = 9 + 0
-3 + 4x = 9

Add '3' to each side of the equation.
-3 + 3 + 4x = 9 + 3

Combine like terms: -3 + 3 = 0
0 + 4x = 9 + 3
4x = 9 + 3

Combine like terms: 9 + 3 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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