6x-5=10x+13

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Solution for 6x-5=10x+13 equation:


Simplifying
6x + -5 = 10x + 13

Reorder the terms:
-5 + 6x = 10x + 13

Reorder the terms:
-5 + 6x = 13 + 10x

Solving
-5 + 6x = 13 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-5 + 6x + -10x = 13 + 10x + -10x

Combine like terms: 6x + -10x = -4x
-5 + -4x = 13 + 10x + -10x

Combine like terms: 10x + -10x = 0
-5 + -4x = 13 + 0
-5 + -4x = 13

Add '5' to each side of the equation.
-5 + 5 + -4x = 13 + 5

Combine like terms: -5 + 5 = 0
0 + -4x = 13 + 5
-4x = 13 + 5

Combine like terms: 13 + 5 = 18
-4x = 18

Divide each side by '-4'.
x = -4.5

Simplifying
x = -4.5

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