2-(5x+3)=17-8x

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Solution for 2-(5x+3)=17-8x equation:


Simplifying
2 + -1(5x + 3) = 17 + -8x

Reorder the terms:
2 + -1(3 + 5x) = 17 + -8x
2 + (3 * -1 + 5x * -1) = 17 + -8x
2 + (-3 + -5x) = 17 + -8x

Combine like terms: 2 + -3 = -1
-1 + -5x = 17 + -8x

Solving
-1 + -5x = 17 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-1 + -5x + 8x = 17 + -8x + 8x

Combine like terms: -5x + 8x = 3x
-1 + 3x = 17 + -8x + 8x

Combine like terms: -8x + 8x = 0
-1 + 3x = 17 + 0
-1 + 3x = 17

Add '1' to each side of the equation.
-1 + 1 + 3x = 17 + 1

Combine like terms: -1 + 1 = 0
0 + 3x = 17 + 1
3x = 17 + 1

Combine like terms: 17 + 1 = 18
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6

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