17(x-2)-1=15x+3

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Solution for 17(x-2)-1=15x+3 equation:


Simplifying
17(x + -2) + -1 = 15x + 3

Reorder the terms:
17(-2 + x) + -1 = 15x + 3
(-2 * 17 + x * 17) + -1 = 15x + 3
(-34 + 17x) + -1 = 15x + 3

Reorder the terms:
-34 + -1 + 17x = 15x + 3

Combine like terms: -34 + -1 = -35
-35 + 17x = 15x + 3

Reorder the terms:
-35 + 17x = 3 + 15x

Solving
-35 + 17x = 3 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-35 + 17x + -15x = 3 + 15x + -15x

Combine like terms: 17x + -15x = 2x
-35 + 2x = 3 + 15x + -15x

Combine like terms: 15x + -15x = 0
-35 + 2x = 3 + 0
-35 + 2x = 3

Add '35' to each side of the equation.
-35 + 35 + 2x = 3 + 35

Combine like terms: -35 + 35 = 0
0 + 2x = 3 + 35
2x = 3 + 35

Combine like terms: 3 + 35 = 38
2x = 38

Divide each side by '2'.
x = 19

Simplifying
x = 19

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