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

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


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

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

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

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

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

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

Combine like terms: -5 + -3 = -8
-8 + 2x + x = (x + 4) + -1(x + -3)

Combine like terms: 2x + x = 3x
-8 + 3x = (x + 4) + -1(x + -3)

Reorder the terms:
-8 + 3x = (4 + x) + -1(x + -3)

Remove parenthesis around (4 + x)
-8 + 3x = 4 + x + -1(x + -3)

Reorder the terms:
-8 + 3x = 4 + x + -1(-3 + x)
-8 + 3x = 4 + x + (-3 * -1 + x * -1)
-8 + 3x = 4 + x + (3 + -1x)

Reorder the terms:
-8 + 3x = 4 + 3 + x + -1x

Combine like terms: 4 + 3 = 7
-8 + 3x = 7 + x + -1x

Combine like terms: x + -1x = 0
-8 + 3x = 7 + 0
-8 + 3x = 7

Solving
-8 + 3x = 7

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 3x = 7 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = 7 + 8
3x = 7 + 8

Combine like terms: 7 + 8 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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