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

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


Simplifying
3(x + -2) + 5(2 + -1x) = 0

Reorder the terms:
3(-2 + x) + 5(2 + -1x) = 0
(-2 * 3 + x * 3) + 5(2 + -1x) = 0
(-6 + 3x) + 5(2 + -1x) = 0
-6 + 3x + (2 * 5 + -1x * 5) = 0
-6 + 3x + (10 + -5x) = 0

Reorder the terms:
-6 + 10 + 3x + -5x = 0

Combine like terms: -6 + 10 = 4
4 + 3x + -5x = 0

Combine like terms: 3x + -5x = -2x
4 + -2x = 0

Solving
4 + -2x = 0

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 = 0 + -4

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

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

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

Simplifying
x = 2

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