5(2W-3)-4(3W+6)=1

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Solution for 5(2W-3)-4(3W+6)=1 equation: 


Simplifying
5(2W + -3) + -4(3W + 6) = 1

Reorder the terms:
5(-3 + 2W) + -4(3W + 6) = 1
(-3 * 5 + 2W * 5) + -4(3W + 6) = 1
(-15 + 10W) + -4(3W + 6) = 1

Reorder the terms:
-15 + 10W + -4(6 + 3W) = 1
-15 + 10W + (6 * -4 + 3W * -4) = 1
-15 + 10W + (-24 + -12W) = 1

Reorder the terms:
-15 + -24 + 10W + -12W = 1

Combine like terms: -15 + -24 = -39
-39 + 10W + -12W = 1

Combine like terms: 10W + -12W = -2W
-39 + -2W = 1

Solving
-39 + -2W = 1

Solving for variable 'W'.

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

Add '39' to each side of the equation.
-39 + 39 + -2W = 1 + 39

Combine like terms: -39 + 39 = 0
0 + -2W = 1 + 39
-2W = 1 + 39

Combine like terms: 1 + 39 = 40
-2W = 40

Divide each side by '-2'.
W = -20

Simplifying
W = -20

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