3(x-5)+2=x+17

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Solution for 3(x-5)+2=x+17 equation:


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

Reorder the terms:
3(-5 + x) + 2 = x + 17
(-5 * 3 + x * 3) + 2 = x + 17
(-15 + 3x) + 2 = x + 17

Reorder the terms:
-15 + 2 + 3x = x + 17

Combine like terms: -15 + 2 = -13
-13 + 3x = x + 17

Reorder the terms:
-13 + 3x = 17 + x

Solving
-13 + 3x = 17 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-13 + 3x + -1x = 17 + x + -1x

Combine like terms: 3x + -1x = 2x
-13 + 2x = 17 + x + -1x

Combine like terms: x + -1x = 0
-13 + 2x = 17 + 0
-13 + 2x = 17

Add '13' to each side of the equation.
-13 + 13 + 2x = 17 + 13

Combine like terms: -13 + 13 = 0
0 + 2x = 17 + 13
2x = 17 + 13

Combine like terms: 17 + 13 = 30
2x = 30

Divide each side by '2'.
x = 15

Simplifying
x = 15

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