15(4-5x)=16(4-6x)+10

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Solution for 15(4-5x)=16(4-6x)+10 equation: 


Simplifying
15(4 + -5x) = 16(4 + -6x) + 10
(4 * 15 + -5x * 15) = 16(4 + -6x) + 10
(60 + -75x) = 16(4 + -6x) + 10
60 + -75x = (4 * 16 + -6x * 16) + 10
60 + -75x = (64 + -96x) + 10

Reorder the terms:
60 + -75x = 64 + 10 + -96x

Combine like terms: 64 + 10 = 74
60 + -75x = 74 + -96x

Solving
60 + -75x = 74 + -96x

Solving for variable 'x'.

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

Add '96x' to each side of the equation.
60 + -75x + 96x = 74 + -96x + 96x

Combine like terms: -75x + 96x = 21x
60 + 21x = 74 + -96x + 96x

Combine like terms: -96x + 96x = 0
60 + 21x = 74 + 0
60 + 21x = 74

Add '-60' to each side of the equation.
60 + -60 + 21x = 74 + -60

Combine like terms: 60 + -60 = 0
0 + 21x = 74 + -60
21x = 74 + -60

Combine like terms: 74 + -60 = 14
21x = 14

Divide each side by '21'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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