15(x-9)-2+(x-12)+5(x+6)=0

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Solution for 15(x-9)-2+(x-12)+5(x+6)=0 equation:


Simplifying
15(x + -9) + -2 + (x + -12) + 5(x + 6) = 0

Reorder the terms:
15(-9 + x) + -2 + (x + -12) + 5(x + 6) = 0
(-9 * 15 + x * 15) + -2 + (x + -12) + 5(x + 6) = 0
(-135 + 15x) + -2 + (x + -12) + 5(x + 6) = 0

Reorder the terms:
-135 + 15x + -2 + (-12 + x) + 5(x + 6) = 0

Remove parenthesis around (-12 + x)
-135 + 15x + -2 + -12 + x + 5(x + 6) = 0

Reorder the terms:
-135 + 15x + -2 + -12 + x + 5(6 + x) = 0
-135 + 15x + -2 + -12 + x + (6 * 5 + x * 5) = 0
-135 + 15x + -2 + -12 + x + (30 + 5x) = 0

Reorder the terms:
-135 + -2 + -12 + 30 + 15x + x + 5x = 0

Combine like terms: -135 + -2 = -137
-137 + -12 + 30 + 15x + x + 5x = 0

Combine like terms: -137 + -12 = -149
-149 + 30 + 15x + x + 5x = 0

Combine like terms: -149 + 30 = -119
-119 + 15x + x + 5x = 0

Combine like terms: 15x + x = 16x
-119 + 16x + 5x = 0

Combine like terms: 16x + 5x = 21x
-119 + 21x = 0

Solving
-119 + 21x = 0

Solving for variable 'x'.

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

Add '119' to each side of the equation.
-119 + 119 + 21x = 0 + 119

Combine like terms: -119 + 119 = 0
0 + 21x = 0 + 119
21x = 0 + 119

Combine like terms: 0 + 119 = 119
21x = 119

Divide each side by '21'.
x = 5.666666667

Simplifying
x = 5.666666667

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