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

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


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

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

Reorder the terms:
2 + -5l + 3x + 5x = 8x + 17

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

Reorder the terms:
2 + -5l + 8x = 17 + 8x

Add '-8x' to each side of the equation.
2 + -5l + 8x + -8x = 17 + 8x + -8x

Combine like terms: 8x + -8x = 0
2 + -5l + 0 = 17 + 8x + -8x
2 + -5l = 17 + 8x + -8x

Combine like terms: 8x + -8x = 0
2 + -5l = 17 + 0
2 + -5l = 17

Solving
2 + -5l = 17

Solving for variable 'l'.

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

Add '-2' to each side of the equation.
2 + -2 + -5l = 17 + -2

Combine like terms: 2 + -2 = 0
0 + -5l = 17 + -2
-5l = 17 + -2

Combine like terms: 17 + -2 = 15
-5l = 15

Divide each side by '-5'.
l = -3

Simplifying
l = -3

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