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

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


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

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

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

Solving
15 + 6x = -9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
15 + 6x + -3x = -9 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
15 + 3x = -9 + 0
15 + 3x = -9

Add '-15' to each side of the equation.
15 + -15 + 3x = -9 + -15

Combine like terms: 15 + -15 = 0
0 + 3x = -9 + -15
3x = -9 + -15

Combine like terms: -9 + -15 = -24
3x = -24

Divide each side by '3'.
x = -8

Simplifying
x = -8

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