(4x-10)=(x+15)

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


Simplifying
(4x + -10) = (x + 15)

Reorder the terms:
(-10 + 4x) = (x + 15)

Remove parenthesis around (-10 + 4x)
-10 + 4x = (x + 15)

Reorder the terms:
-10 + 4x = (15 + x)

Remove parenthesis around (15 + x)
-10 + 4x = 15 + x

Solving
-10 + 4x = 15 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-10 + 4x + -1x = 15 + x + -1x

Combine like terms: 4x + -1x = 3x
-10 + 3x = 15 + x + -1x

Combine like terms: x + -1x = 0
-10 + 3x = 15 + 0
-10 + 3x = 15

Add '10' to each side of the equation.
-10 + 10 + 3x = 15 + 10

Combine like terms: -10 + 10 = 0
0 + 3x = 15 + 10
3x = 15 + 10

Combine like terms: 15 + 10 = 25
3x = 25

Divide each side by '3'.
x = 8.333333333

Simplifying
x = 8.333333333

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