4x-5=6x+10

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Solution for 4x-5=6x+10 equation:


Simplifying
4x + -5 = 6x + 10

Reorder the terms:
-5 + 4x = 6x + 10

Reorder the terms:
-5 + 4x = 10 + 6x

Solving
-5 + 4x = 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.
-5 + 4x + -6x = 10 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-5 + -2x = 10 + 6x + -6x

Combine like terms: 6x + -6x = 0
-5 + -2x = 10 + 0
-5 + -2x = 10

Add '5' to each side of the equation.
-5 + 5 + -2x = 10 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = 10 + 5
-2x = 10 + 5

Combine like terms: 10 + 5 = 15
-2x = 15

Divide each side by '-2'.
x = -7.5

Simplifying
x = -7.5

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