9x-17=5-2(4-7x)

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Solution for 9x-17=5-2(4-7x) equation:


Simplifying
9x + -17 = 5 + -2(4 + -7x)

Reorder the terms:
-17 + 9x = 5 + -2(4 + -7x)
-17 + 9x = 5 + (4 * -2 + -7x * -2)
-17 + 9x = 5 + (-8 + 14x)

Combine like terms: 5 + -8 = -3
-17 + 9x = -3 + 14x

Solving
-17 + 9x = -3 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-17 + 9x + -14x = -3 + 14x + -14x

Combine like terms: 9x + -14x = -5x
-17 + -5x = -3 + 14x + -14x

Combine like terms: 14x + -14x = 0
-17 + -5x = -3 + 0
-17 + -5x = -3

Add '17' to each side of the equation.
-17 + 17 + -5x = -3 + 17

Combine like terms: -17 + 17 = 0
0 + -5x = -3 + 17
-5x = -3 + 17

Combine like terms: -3 + 17 = 14
-5x = 14

Divide each side by '-5'.
x = -2.8

Simplifying
x = -2.8

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