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

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


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

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

Reorder the terms:
6 + 2x + -3(-5 + 2x) = -3
6 + 2x + (-5 * -3 + 2x * -3) = -3
6 + 2x + (15 + -6x) = -3

Reorder the terms:
6 + 15 + 2x + -6x = -3

Combine like terms: 6 + 15 = 21
21 + 2x + -6x = -3

Combine like terms: 2x + -6x = -4x
21 + -4x = -3

Solving
21 + -4x = -3

Solving for variable 'x'.

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

Add '-21' to each side of the equation.
21 + -21 + -4x = -3 + -21

Combine like terms: 21 + -21 = 0
0 + -4x = -3 + -21
-4x = -3 + -21

Combine like terms: -3 + -21 = -24
-4x = -24

Divide each side by '-4'.
x = 6

Simplifying
x = 6

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