3x-13=6x+10

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Solution for 3x-13=6x+10 equation:


Simplifying
3x + -13 = 6x + 10

Reorder the terms:
-13 + 3x = 6x + 10

Reorder the terms:
-13 + 3x = 10 + 6x

Solving
-13 + 3x = 10 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-13 + 3x + -6x = 10 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-13 + -3x = 10 + 6x + -6x

Combine like terms: 6x + -6x = 0
-13 + -3x = 10 + 0
-13 + -3x = 10

Add '13' to each side of the equation.
-13 + 13 + -3x = 10 + 13

Combine like terms: -13 + 13 = 0
0 + -3x = 10 + 13
-3x = 10 + 13

Combine like terms: 10 + 13 = 23
-3x = 23

Divide each side by '-3'.
x = -7.666666667

Simplifying
x = -7.666666667

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