10(L+5)=2(L+9)

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Solution for 10(L+5)=2(L+9) equation:


Simplifying
10(L + 5) = 2(L + 9)

Reorder the terms:
10(5 + L) = 2(L + 9)
(5 * 10 + L * 10) = 2(L + 9)
(50 + 10L) = 2(L + 9)

Reorder the terms:
50 + 10L = 2(9 + L)
50 + 10L = (9 * 2 + L * 2)
50 + 10L = (18 + 2L)

Solving
50 + 10L = 18 + 2L

Solving for variable 'L'.

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

Add '-2L' to each side of the equation.
50 + 10L + -2L = 18 + 2L + -2L

Combine like terms: 10L + -2L = 8L
50 + 8L = 18 + 2L + -2L

Combine like terms: 2L + -2L = 0
50 + 8L = 18 + 0
50 + 8L = 18

Add '-50' to each side of the equation.
50 + -50 + 8L = 18 + -50

Combine like terms: 50 + -50 = 0
0 + 8L = 18 + -50
8L = 18 + -50

Combine like terms: 18 + -50 = -32
8L = -32

Divide each side by '8'.
L = -4

Simplifying
L = -4

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