(5x+3)-(3x-8)=0

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Solution for (5x+3)-(3x-8)=0 equation:


Simplifying
(5x + 3) + -1(3x + -8) = 0

Reorder the terms:
(3 + 5x) + -1(3x + -8) = 0

Remove parenthesis around (3 + 5x)
3 + 5x + -1(3x + -8) = 0

Reorder the terms:
3 + 5x + -1(-8 + 3x) = 0
3 + 5x + (-8 * -1 + 3x * -1) = 0
3 + 5x + (8 + -3x) = 0

Reorder the terms:
3 + 8 + 5x + -3x = 0

Combine like terms: 3 + 8 = 11
11 + 5x + -3x = 0

Combine like terms: 5x + -3x = 2x
11 + 2x = 0

Solving
11 + 2x = 0

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + 2x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 2x = 0 + -11
2x = 0 + -11

Combine like terms: 0 + -11 = -11
2x = -11

Divide each side by '2'.
x = -5.5

Simplifying
x = -5.5

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