3(2x-14)+x=15-9(-9x-5)

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Solution for 3(2x-14)+x=15-9(-9x-5) equation:


Simplifying
3(2x + -14) + x = 15 + -9(-9x + -5)

Reorder the terms:
3(-14 + 2x) + x = 15 + -9(-9x + -5)
(-14 * 3 + 2x * 3) + x = 15 + -9(-9x + -5)
(-42 + 6x) + x = 15 + -9(-9x + -5)

Combine like terms: 6x + x = 7x
-42 + 7x = 15 + -9(-9x + -5)

Reorder the terms:
-42 + 7x = 15 + -9(-5 + -9x)
-42 + 7x = 15 + (-5 * -9 + -9x * -9)
-42 + 7x = 15 + (45 + 81x)

Combine like terms: 15 + 45 = 60
-42 + 7x = 60 + 81x

Solving
-42 + 7x = 60 + 81x

Solving for variable 'x'.

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

Add '-81x' to each side of the equation.
-42 + 7x + -81x = 60 + 81x + -81x

Combine like terms: 7x + -81x = -74x
-42 + -74x = 60 + 81x + -81x

Combine like terms: 81x + -81x = 0
-42 + -74x = 60 + 0
-42 + -74x = 60

Add '42' to each side of the equation.
-42 + 42 + -74x = 60 + 42

Combine like terms: -42 + 42 = 0
0 + -74x = 60 + 42
-74x = 60 + 42

Combine like terms: 60 + 42 = 102
-74x = 102

Divide each side by '-74'.
x = -1.378378378

Simplifying
x = -1.378378378

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