4(3x+2)=6x-15

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Solution for 4(3x+2)=6x-15 equation:


Simplifying
4(3x + 2) = 6x + -15

Reorder the terms:
4(2 + 3x) = 6x + -15
(2 * 4 + 3x * 4) = 6x + -15
(8 + 12x) = 6x + -15

Reorder the terms:
8 + 12x = -15 + 6x

Solving
8 + 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.
8 + 12x + -6x = -15 + 6x + -6x

Combine like terms: 12x + -6x = 6x
8 + 6x = -15 + 6x + -6x

Combine like terms: 6x + -6x = 0
8 + 6x = -15 + 0
8 + 6x = -15

Add '-8' to each side of the equation.
8 + -8 + 6x = -15 + -8

Combine like terms: 8 + -8 = 0
0 + 6x = -15 + -8
6x = -15 + -8

Combine like terms: -15 + -8 = -23
6x = -23

Divide each side by '6'.
x = -3.833333333

Simplifying
x = -3.833333333

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