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

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


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

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

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

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

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

Combine like terms: 6x + -6x = 0
21 + 0 = 2x + -3
21 = 2x + -3

Reorder the terms:
21 = -3 + 2x

Solving
21 = -3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
21 + -2x = -3 + 2x + -2x

Combine like terms: 2x + -2x = 0
21 + -2x = -3 + 0
21 + -2x = -3

Add '-21' to each side of the equation.
21 + -21 + -2x = -3 + -21

Combine like terms: 21 + -21 = 0
0 + -2x = -3 + -21
-2x = -3 + -21

Combine like terms: -3 + -21 = -24
-2x = -24

Divide each side by '-2'.
x = 12

Simplifying
x = 12

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