6x-10=3x+15

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Solution for 6x-10=3x+15 equation:


Simplifying
6x + -10 = 3x + 15

Reorder the terms:
-10 + 6x = 3x + 15

Reorder the terms:
-10 + 6x = 15 + 3x

Solving
-10 + 6x = 15 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-10 + 6x + -3x = 15 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-10 + 3x = 15 + 3x + -3x

Combine like terms: 3x + -3x = 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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