2(x-5)+2-3(5-2x)=16

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Solution for 2(x-5)+2-3(5-2x)=16 equation: 


Simplifying
2(x + -5) + 2 + -3(5 + -2x) = 16

Reorder the terms:
2(-5 + x) + 2 + -3(5 + -2x) = 16
(-5 * 2 + x * 2) + 2 + -3(5 + -2x) = 16
(-10 + 2x) + 2 + -3(5 + -2x) = 16
-10 + 2x + 2 + (5 * -3 + -2x * -3) = 16
-10 + 2x + 2 + (-15 + 6x) = 16

Reorder the terms:
-10 + 2 + -15 + 2x + 6x = 16

Combine like terms: -10 + 2 = -8
-8 + -15 + 2x + 6x = 16

Combine like terms: -8 + -15 = -23
-23 + 2x + 6x = 16

Combine like terms: 2x + 6x = 8x
-23 + 8x = 16

Solving
-23 + 8x = 16

Solving for variable 'x'.

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

Add '23' to each side of the equation.
-23 + 23 + 8x = 16 + 23

Combine like terms: -23 + 23 = 0
0 + 8x = 16 + 23
8x = 16 + 23

Combine like terms: 16 + 23 = 39
8x = 39

Divide each side by '8'.
x = 4.875

Simplifying
x = 4.875

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