15(x+3)=12x-43

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Solution for 15(x+3)=12x-43 equation:


Simplifying
15(x + 3) = 12x + -43

Reorder the terms:
15(3 + x) = 12x + -43
(3 * 15 + x * 15) = 12x + -43
(45 + 15x) = 12x + -43

Reorder the terms:
45 + 15x = -43 + 12x

Solving
45 + 15x = -43 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
45 + 15x + -12x = -43 + 12x + -12x

Combine like terms: 15x + -12x = 3x
45 + 3x = -43 + 12x + -12x

Combine like terms: 12x + -12x = 0
45 + 3x = -43 + 0
45 + 3x = -43

Add '-45' to each side of the equation.
45 + -45 + 3x = -43 + -45

Combine like terms: 45 + -45 = 0
0 + 3x = -43 + -45
3x = -43 + -45

Combine like terms: -43 + -45 = -88
3x = -88

Divide each side by '3'.
x = -29.33333333

Simplifying
x = -29.33333333

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