3(x+5)=5(4x+1)

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Solution for 3(x+5)=5(4x+1) equation:


Simplifying
3(x + 5) = 5(4x + 1)

Reorder the terms:
3(5 + x) = 5(4x + 1)
(5 * 3 + x * 3) = 5(4x + 1)
(15 + 3x) = 5(4x + 1)

Reorder the terms:
15 + 3x = 5(1 + 4x)
15 + 3x = (1 * 5 + 4x * 5)
15 + 3x = (5 + 20x)

Solving
15 + 3x = 5 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
15 + 3x + -20x = 5 + 20x + -20x

Combine like terms: 3x + -20x = -17x
15 + -17x = 5 + 20x + -20x

Combine like terms: 20x + -20x = 0
15 + -17x = 5 + 0
15 + -17x = 5

Add '-15' to each side of the equation.
15 + -15 + -17x = 5 + -15

Combine like terms: 15 + -15 = 0
0 + -17x = 5 + -15
-17x = 5 + -15

Combine like terms: 5 + -15 = -10
-17x = -10

Divide each side by '-17'.
x = 0.5882352941

Simplifying
x = 0.5882352941

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