3l-5=2(4l-9)

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Solution for 3l-5=2(4l-9) equation:


Simplifying
3l + -5 = 2(4l + -9)

Reorder the terms:
-5 + 3l = 2(4l + -9)

Reorder the terms:
-5 + 3l = 2(-9 + 4l)
-5 + 3l = (-9 * 2 + 4l * 2)
-5 + 3l = (-18 + 8l)

Solving
-5 + 3l = -18 + 8l

Solving for variable 'l'.

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

Add '-8l' to each side of the equation.
-5 + 3l + -8l = -18 + 8l + -8l

Combine like terms: 3l + -8l = -5l
-5 + -5l = -18 + 8l + -8l

Combine like terms: 8l + -8l = 0
-5 + -5l = -18 + 0
-5 + -5l = -18

Add '5' to each side of the equation.
-5 + 5 + -5l = -18 + 5

Combine like terms: -5 + 5 = 0
0 + -5l = -18 + 5
-5l = -18 + 5

Combine like terms: -18 + 5 = -13
-5l = -13

Divide each side by '-5'.
l = 2.6

Simplifying
l = 2.6

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