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

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


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

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

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

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

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

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

Combine like terms: 5x + -2x = 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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