17(x-3)=(7x-15)

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Solution for 17(x-3)=(7x-15) equation:


Simplifying
17(x + -3) = (7x + -15)

Reorder the terms:
17(-3 + x) = (7x + -15)
(-3 * 17 + x * 17) = (7x + -15)
(-51 + 17x) = (7x + -15)

Reorder the terms:
-51 + 17x = (-15 + 7x)

Remove parenthesis around (-15 + 7x)
-51 + 17x = -15 + 7x

Solving
-51 + 17x = -15 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-51 + 17x + -7x = -15 + 7x + -7x

Combine like terms: 17x + -7x = 10x
-51 + 10x = -15 + 7x + -7x

Combine like terms: 7x + -7x = 0
-51 + 10x = -15 + 0
-51 + 10x = -15

Add '51' to each side of the equation.
-51 + 51 + 10x = -15 + 51

Combine like terms: -51 + 51 = 0
0 + 10x = -15 + 51
10x = -15 + 51

Combine like terms: -15 + 51 = 36
10x = 36

Divide each side by '10'.
x = 3.6

Simplifying
x = 3.6

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