3x-10(x+2)=13-17x

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Solution for 3x-10(x+2)=13-17x equation: 


Simplifying
3x + -10(x + 2) = 13 + -17x

Reorder the terms:
3x + -10(2 + x) = 13 + -17x
3x + (2 * -10 + x * -10) = 13 + -17x
3x + (-20 + -10x) = 13 + -17x

Reorder the terms:
-20 + 3x + -10x = 13 + -17x

Combine like terms: 3x + -10x = -7x
-20 + -7x = 13 + -17x

Solving
-20 + -7x = 13 + -17x

Solving for variable 'x'.

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

Add '17x' to each side of the equation.
-20 + -7x + 17x = 13 + -17x + 17x

Combine like terms: -7x + 17x = 10x
-20 + 10x = 13 + -17x + 17x

Combine like terms: -17x + 17x = 0
-20 + 10x = 13 + 0
-20 + 10x = 13

Add '20' to each side of the equation.
-20 + 20 + 10x = 13 + 20

Combine like terms: -20 + 20 = 0
0 + 10x = 13 + 20
10x = 13 + 20

Combine like terms: 13 + 20 = 33
10x = 33

Divide each side by '10'.
x = 3.3

Simplifying
x = 3.3

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