x+2(x+1)-5(x-3)+3=0

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Solution for x+2(x+1)-5(x-3)+3=0 equation:


Simplifying
x + 2(x + 1) + -5(x + -3) + 3 = 0

Reorder the terms:
x + 2(1 + x) + -5(x + -3) + 3 = 0
x + (1 * 2 + x * 2) + -5(x + -3) + 3 = 0
x + (2 + 2x) + -5(x + -3) + 3 = 0

Reorder the terms:
x + 2 + 2x + -5(-3 + x) + 3 = 0
x + 2 + 2x + (-3 * -5 + x * -5) + 3 = 0
x + 2 + 2x + (15 + -5x) + 3 = 0

Reorder the terms:
2 + 15 + 3 + x + 2x + -5x = 0

Combine like terms: 2 + 15 = 17
17 + 3 + x + 2x + -5x = 0

Combine like terms: 17 + 3 = 20
20 + x + 2x + -5x = 0

Combine like terms: x + 2x = 3x
20 + 3x + -5x = 0

Combine like terms: 3x + -5x = -2x
20 + -2x = 0

Solving
20 + -2x = 0

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + -2x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -2x = 0 + -20
-2x = 0 + -20

Combine like terms: 0 + -20 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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