17(x-25)=-17+3(x+34)

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Solution for 17(x-25)=-17+3(x+34) equation:


Simplifying
17(x + -25) = -17 + 3(x + 34)

Reorder the terms:
17(-25 + x) = -17 + 3(x + 34)
(-25 * 17 + x * 17) = -17 + 3(x + 34)
(-425 + 17x) = -17 + 3(x + 34)

Reorder the terms:
-425 + 17x = -17 + 3(34 + x)
-425 + 17x = -17 + (34 * 3 + x * 3)
-425 + 17x = -17 + (102 + 3x)

Combine like terms: -17 + 102 = 85
-425 + 17x = 85 + 3x

Solving
-425 + 17x = 85 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-425 + 17x + -3x = 85 + 3x + -3x

Combine like terms: 17x + -3x = 14x
-425 + 14x = 85 + 3x + -3x

Combine like terms: 3x + -3x = 0
-425 + 14x = 85 + 0
-425 + 14x = 85

Add '425' to each side of the equation.
-425 + 425 + 14x = 85 + 425

Combine like terms: -425 + 425 = 0
0 + 14x = 85 + 425
14x = 85 + 425

Combine like terms: 85 + 425 = 510
14x = 510

Divide each side by '14'.
x = 36.42857143

Simplifying
x = 36.42857143

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