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

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


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

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

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

Combine like terms: 6 + 5 = 11
11 + 3x = 2(3x + -2)

Reorder the terms:
11 + 3x = 2(-2 + 3x)
11 + 3x = (-2 * 2 + 3x * 2)
11 + 3x = (-4 + 6x)

Solving
11 + 3x = -4 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
11 + 3x + -6x = -4 + 6x + -6x

Combine like terms: 3x + -6x = -3x
11 + -3x = -4 + 6x + -6x

Combine like terms: 6x + -6x = 0
11 + -3x = -4 + 0
11 + -3x = -4

Add '-11' to each side of the equation.
11 + -11 + -3x = -4 + -11

Combine like terms: 11 + -11 = 0
0 + -3x = -4 + -11
-3x = -4 + -11

Combine like terms: -4 + -11 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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