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

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


Simplifying
3(x + -2) + 5(2 + -1x) = 17

Reorder the terms:
3(-2 + x) + 5(2 + -1x) = 17
(-2 * 3 + x * 3) + 5(2 + -1x) = 17
(-6 + 3x) + 5(2 + -1x) = 17
-6 + 3x + (2 * 5 + -1x * 5) = 17
-6 + 3x + (10 + -5x) = 17

Reorder the terms:
-6 + 10 + 3x + -5x = 17

Combine like terms: -6 + 10 = 4
4 + 3x + -5x = 17

Combine like terms: 3x + -5x = -2x
4 + -2x = 17

Solving
4 + -2x = 17

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + -2x = 17 + -4

Combine like terms: 4 + -4 = 0
0 + -2x = 17 + -4
-2x = 17 + -4

Combine like terms: 17 + -4 = 13
-2x = 13

Divide each side by '-2'.
x = -6.5

Simplifying
x = -6.5

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