(5x+6)-(2+3x)=0

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Solution for (5x+6)-(2+3x)=0 equation:


Simplifying
(5x + 6) + -1(2 + 3x) = 0

Reorder the terms:
(6 + 5x) + -1(2 + 3x) = 0

Remove parenthesis around (6 + 5x)
6 + 5x + -1(2 + 3x) = 0
6 + 5x + (2 * -1 + 3x * -1) = 0
6 + 5x + (-2 + -3x) = 0

Reorder the terms:
6 + -2 + 5x + -3x = 0

Combine like terms: 6 + -2 = 4
4 + 5x + -3x = 0

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

Solving
4 + 2x = 0

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 2x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 2x = 0 + -4
2x = 0 + -4

Combine like terms: 0 + -4 = -4
2x = -4

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

Simplifying
x = -2

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