2x-3=6x-10x+20

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Solution for 2x-3=6x-10x+20 equation:


Simplifying
2x + -3 = 6x + -10x + 20

Reorder the terms:
-3 + 2x = 6x + -10x + 20

Reorder the terms:
-3 + 2x = 20 + 6x + -10x

Combine like terms: 6x + -10x = -4x
-3 + 2x = 20 + -4x

Solving
-3 + 2x = 20 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-3 + 2x + 4x = 20 + -4x + 4x

Combine like terms: 2x + 4x = 6x
-3 + 6x = 20 + -4x + 4x

Combine like terms: -4x + 4x = 0
-3 + 6x = 20 + 0
-3 + 6x = 20

Add '3' to each side of the equation.
-3 + 3 + 6x = 20 + 3

Combine like terms: -3 + 3 = 0
0 + 6x = 20 + 3
6x = 20 + 3

Combine like terms: 20 + 3 = 23
6x = 23

Divide each side by '6'.
x = 3.833333333

Simplifying
x = 3.833333333

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