4x-5=10x-2

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Solution for 4x-5=10x-2 equation:


Simplifying
4x + -5 = 10x + -2

Reorder the terms:
-5 + 4x = 10x + -2

Reorder the terms:
-5 + 4x = -2 + 10x

Solving
-5 + 4x = -2 + 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 + 4x + -10x = -2 + 10x + -10x

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

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

Add '5' to each side of the equation.
-5 + 5 + -6x = -2 + 5

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

Combine like terms: -2 + 5 = 3
-6x = 3

Divide each side by '-6'.
x = -0.5

Simplifying
x = -0.5

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