17=4x+5(x-2)

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


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

Reorder the terms:
17 = 4x + 5(-2 + x)
17 = 4x + (-2 * 5 + x * 5)
17 = 4x + (-10 + 5x)

Reorder the terms:
17 = -10 + 4x + 5x

Combine like terms: 4x + 5x = 9x
17 = -10 + 9x

Solving
17 = -10 + 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.
17 + -9x = -10 + 9x + -9x

Combine like terms: 9x + -9x = 0
17 + -9x = -10 + 0
17 + -9x = -10

Add '-17' to each side of the equation.
17 + -17 + -9x = -10 + -17

Combine like terms: 17 + -17 = 0
0 + -9x = -10 + -17
-9x = -10 + -17

Combine like terms: -10 + -17 = -27
-9x = -27

Divide each side by '-9'.
x = 3

Simplifying
x = 3

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