12(x+3)=15x-4

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Solution for 12(x+3)=15x-4 equation:


Simplifying
12(x + 3) = 15x + -4

Reorder the terms:
12(3 + x) = 15x + -4
(3 * 12 + x * 12) = 15x + -4
(36 + 12x) = 15x + -4

Reorder the terms:
36 + 12x = -4 + 15x

Solving
36 + 12x = -4 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
36 + 12x + -15x = -4 + 15x + -15x

Combine like terms: 12x + -15x = -3x
36 + -3x = -4 + 15x + -15x

Combine like terms: 15x + -15x = 0
36 + -3x = -4 + 0
36 + -3x = -4

Add '-36' to each side of the equation.
36 + -36 + -3x = -4 + -36

Combine like terms: 36 + -36 = 0
0 + -3x = -4 + -36
-3x = -4 + -36

Combine like terms: -4 + -36 = -40
-3x = -40

Divide each side by '-3'.
x = 13.33333333

Simplifying
x = 13.33333333

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