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

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


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

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

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

Reorder the terms:
2 + 3x = 2(2 + x)
2 + 3x = (2 * 2 + x * 2)
2 + 3x = (4 + 2x)

Solving
2 + 3x = 4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
2 + 3x + -2x = 4 + 2x + -2x

Combine like terms: 3x + -2x = 1x
2 + 1x = 4 + 2x + -2x

Combine like terms: 2x + -2x = 0
2 + 1x = 4 + 0
2 + 1x = 4

Add '-2' to each side of the equation.
2 + -2 + 1x = 4 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 4 + -2
1x = 4 + -2

Combine like terms: 4 + -2 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

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