17-3(2x-15)=9x+14+x

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Solution for 17-3(2x-15)=9x+14+x equation:


Simplifying
17 + -3(2x + -15) = 9x + 14 + x

Reorder the terms:
17 + -3(-15 + 2x) = 9x + 14 + x
17 + (-15 * -3 + 2x * -3) = 9x + 14 + x
17 + (45 + -6x) = 9x + 14 + x

Combine like terms: 17 + 45 = 62
62 + -6x = 9x + 14 + x

Reorder the terms:
62 + -6x = 14 + 9x + x

Combine like terms: 9x + x = 10x
62 + -6x = 14 + 10x

Solving
62 + -6x = 14 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
62 + -6x + -10x = 14 + 10x + -10x

Combine like terms: -6x + -10x = -16x
62 + -16x = 14 + 10x + -10x

Combine like terms: 10x + -10x = 0
62 + -16x = 14 + 0
62 + -16x = 14

Add '-62' to each side of the equation.
62 + -62 + -16x = 14 + -62

Combine like terms: 62 + -62 = 0
0 + -16x = 14 + -62
-16x = 14 + -62

Combine like terms: 14 + -62 = -48
-16x = -48

Divide each side by '-16'.
x = 3

Simplifying
x = 3

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