x+(l-2)+(l-3)=10

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Solution for x+(l-2)+(l-3)=10 equation:


Simplifying
x + (l + -2) + (l + -3) = 10

Reorder the terms:
x + (-2 + l) + (l + -3) = 10

Remove parenthesis around (-2 + l)
x + -2 + l + (l + -3) = 10

Reorder the terms:
x + -2 + l + (-3 + l) = 10

Remove parenthesis around (-3 + l)
x + -2 + l + -3 + l = 10

Reorder the terms:
-2 + -3 + l + l + x = 10

Combine like terms: -2 + -3 = -5
-5 + l + l + x = 10

Combine like terms: l + l = 2l
-5 + 2l + x = 10

Solving
-5 + 2l + x = 10

Solving for variable 'l'.

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

Add '5' to each side of the equation.
-5 + 2l + 5 + x = 10 + 5

Reorder the terms:
-5 + 5 + 2l + x = 10 + 5

Combine like terms: -5 + 5 = 0
0 + 2l + x = 10 + 5
2l + x = 10 + 5

Combine like terms: 10 + 5 = 15
2l + x = 15

Add '-1x' to each side of the equation.
2l + x + -1x = 15 + -1x

Combine like terms: x + -1x = 0
2l + 0 = 15 + -1x
2l = 15 + -1x

Divide each side by '2'.
l = 7.5 + -0.5x

Simplifying
l = 7.5 + -0.5x

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