9(21-x)=17(2x+1)

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Solution for 9(21-x)=17(2x+1) equation:


Simplifying
9(21 + -1x) = 17(2x + 1)
(21 * 9 + -1x * 9) = 17(2x + 1)
(189 + -9x) = 17(2x + 1)

Reorder the terms:
189 + -9x = 17(1 + 2x)
189 + -9x = (1 * 17 + 2x * 17)
189 + -9x = (17 + 34x)

Solving
189 + -9x = 17 + 34x

Solving for variable 'x'.

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

Add '-34x' to each side of the equation.
189 + -9x + -34x = 17 + 34x + -34x

Combine like terms: -9x + -34x = -43x
189 + -43x = 17 + 34x + -34x

Combine like terms: 34x + -34x = 0
189 + -43x = 17 + 0
189 + -43x = 17

Add '-189' to each side of the equation.
189 + -189 + -43x = 17 + -189

Combine like terms: 189 + -189 = 0
0 + -43x = 17 + -189
-43x = 17 + -189

Combine like terms: 17 + -189 = -172
-43x = -172

Divide each side by '-43'.
x = 4

Simplifying
x = 4

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