10(X+8)=15(X+1)

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Solution for 10(X+8)=15(X+1) equation:


Simplifying
10(X + 8) = 15(X + 1)

Reorder the terms:
10(8 + X) = 15(X + 1)
(8 * 10 + X * 10) = 15(X + 1)
(80 + 10X) = 15(X + 1)

Reorder the terms:
80 + 10X = 15(1 + X)
80 + 10X = (1 * 15 + X * 15)
80 + 10X = (15 + 15X)

Solving
80 + 10X = 15 + 15X

Solving for variable 'X'.

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

Add '-15X' to each side of the equation.
80 + 10X + -15X = 15 + 15X + -15X

Combine like terms: 10X + -15X = -5X
80 + -5X = 15 + 15X + -15X

Combine like terms: 15X + -15X = 0
80 + -5X = 15 + 0
80 + -5X = 15

Add '-80' to each side of the equation.
80 + -80 + -5X = 15 + -80

Combine like terms: 80 + -80 = 0
0 + -5X = 15 + -80
-5X = 15 + -80

Combine like terms: 15 + -80 = -65
-5X = -65

Divide each side by '-5'.
X = 13

Simplifying
X = 13

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