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

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


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

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

Reorder the terms:
15 + 3x = 3(-3 + 2x) + 2
15 + 3x = (-3 * 3 + 2x * 3) + 2
15 + 3x = (-9 + 6x) + 2

Reorder the terms:
15 + 3x = -9 + 2 + 6x

Combine like terms: -9 + 2 = -7
15 + 3x = -7 + 6x

Solving
15 + 3x = -7 + 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.
15 + 3x + -6x = -7 + 6x + -6x

Combine like terms: 3x + -6x = -3x
15 + -3x = -7 + 6x + -6x

Combine like terms: 6x + -6x = 0
15 + -3x = -7 + 0
15 + -3x = -7

Add '-15' to each side of the equation.
15 + -15 + -3x = -7 + -15

Combine like terms: 15 + -15 = 0
0 + -3x = -7 + -15
-3x = -7 + -15

Combine like terms: -7 + -15 = -22
-3x = -22

Divide each side by '-3'.
x = 7.333333333

Simplifying
x = 7.333333333

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