4x-2=10x-20

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Solution for 4x-2=10x-20 equation:


Simplifying
4x + -2 = 10x + -20

Reorder the terms:
-2 + 4x = 10x + -20

Reorder the terms:
-2 + 4x = -20 + 10x

Solving
-2 + 4x = -20 + 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.
-2 + 4x + -10x = -20 + 10x + -10x

Combine like terms: 4x + -10x = -6x
-2 + -6x = -20 + 10x + -10x

Combine like terms: 10x + -10x = 0
-2 + -6x = -20 + 0
-2 + -6x = -20

Add '2' to each side of the equation.
-2 + 2 + -6x = -20 + 2

Combine like terms: -2 + 2 = 0
0 + -6x = -20 + 2
-6x = -20 + 2

Combine like terms: -20 + 2 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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