(3x+5)-(2x-8)=0

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Solution for (3x+5)-(2x-8)=0 equation:


Simplifying
(3x + 5) + -1(2x + -8) = 0

Reorder the terms:
(5 + 3x) + -1(2x + -8) = 0

Remove parenthesis around (5 + 3x)
5 + 3x + -1(2x + -8) = 0

Reorder the terms:
5 + 3x + -1(-8 + 2x) = 0
5 + 3x + (-8 * -1 + 2x * -1) = 0
5 + 3x + (8 + -2x) = 0

Reorder the terms:
5 + 8 + 3x + -2x = 0

Combine like terms: 5 + 8 = 13
13 + 3x + -2x = 0

Combine like terms: 3x + -2x = 1x
13 + 1x = 0

Solving
13 + 1x = 0

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + 1x = 0 + -13

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

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

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

Simplifying
x = -13

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