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

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


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

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

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

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

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

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

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

Solving
5 + -3x = 0

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + -3x = 0 + -5

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

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

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667

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