3(2x-14)+1x=15-(-9x-5)

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Solution for 3(2x-14)+1x=15-(-9x-5) equation:


Simplifying
3(2x + -14) + 1x = 15 + -1(-9x + -5)

Reorder the terms:
3(-14 + 2x) + 1x = 15 + -1(-9x + -5)
(-14 * 3 + 2x * 3) + 1x = 15 + -1(-9x + -5)
(-42 + 6x) + 1x = 15 + -1(-9x + -5)

Combine like terms: 6x + 1x = 7x
-42 + 7x = 15 + -1(-9x + -5)

Reorder the terms:
-42 + 7x = 15 + -1(-5 + -9x)
-42 + 7x = 15 + (-5 * -1 + -9x * -1)
-42 + 7x = 15 + (5 + 9x)

Combine like terms: 15 + 5 = 20
-42 + 7x = 20 + 9x

Solving
-42 + 7x = 20 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-42 + 7x + -9x = 20 + 9x + -9x

Combine like terms: 7x + -9x = -2x
-42 + -2x = 20 + 9x + -9x

Combine like terms: 9x + -9x = 0
-42 + -2x = 20 + 0
-42 + -2x = 20

Add '42' to each side of the equation.
-42 + 42 + -2x = 20 + 42

Combine like terms: -42 + 42 = 0
0 + -2x = 20 + 42
-2x = 20 + 42

Combine like terms: 20 + 42 = 62
-2x = 62

Divide each side by '-2'.
x = -31

Simplifying
x = -31

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