3(4x+5)=6x-15

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Solution for 3(4x+5)=6x-15 equation:


Simplifying
3(4x + 5) = 6x + -15

Reorder the terms:
3(5 + 4x) = 6x + -15
(5 * 3 + 4x * 3) = 6x + -15
(15 + 12x) = 6x + -15

Reorder the terms:
15 + 12x = -15 + 6x

Solving
15 + 12x = -15 + 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 + 12x + -6x = -15 + 6x + -6x

Combine like terms: 12x + -6x = 6x
15 + 6x = -15 + 6x + -6x

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

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

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

Combine like terms: -15 + -15 = -30
6x = -30

Divide each side by '6'.
x = -5

Simplifying
x = -5

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