15(x-1)=5(x+5)

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Solution for 15(x-1)=5(x+5) equation:


Simplifying
15(x + -1) = 5(x + 5)

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

Reorder the terms:
-15 + 15x = 5(5 + x)
-15 + 15x = (5 * 5 + x * 5)
-15 + 15x = (25 + 5x)

Solving
-15 + 15x = 25 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-15 + 15x + -5x = 25 + 5x + -5x

Combine like terms: 15x + -5x = 10x
-15 + 10x = 25 + 5x + -5x

Combine like terms: 5x + -5x = 0
-15 + 10x = 25 + 0
-15 + 10x = 25

Add '15' to each side of the equation.
-15 + 15 + 10x = 25 + 15

Combine like terms: -15 + 15 = 0
0 + 10x = 25 + 15
10x = 25 + 15

Combine like terms: 25 + 15 = 40
10x = 40

Divide each side by '10'.
x = 4

Simplifying
x = 4

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