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

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


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

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

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

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

Combine like terms: -3 + 3 = 0
0 + x = 2(x + 4) + 5
x = 2(x + 4) + 5

Reorder the terms:
x = 2(4 + x) + 5
x = (4 * 2 + x * 2) + 5
x = (8 + 2x) + 5

Reorder the terms:
x = 8 + 5 + 2x

Combine like terms: 8 + 5 = 13
x = 13 + 2x

Solving
x = 13 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
x + -2x = 13 + 2x + -2x

Combine like terms: x + -2x = -1x
-1x = 13 + 2x + -2x

Combine like terms: 2x + -2x = 0
-1x = 13 + 0
-1x = 13

Divide each side by '-1'.
x = -13

Simplifying
x = -13

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