2x-1=10x-42

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Solution for 2x-1=10x-42 equation:


Simplifying
2x + -1 = 10x + -42

Reorder the terms:
-1 + 2x = 10x + -42

Reorder the terms:
-1 + 2x = -42 + 10x

Solving
-1 + 2x = -42 + 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.
-1 + 2x + -10x = -42 + 10x + -10x

Combine like terms: 2x + -10x = -8x
-1 + -8x = -42 + 10x + -10x

Combine like terms: 10x + -10x = 0
-1 + -8x = -42 + 0
-1 + -8x = -42

Add '1' to each side of the equation.
-1 + 1 + -8x = -42 + 1

Combine like terms: -1 + 1 = 0
0 + -8x = -42 + 1
-8x = -42 + 1

Combine like terms: -42 + 1 = -41
-8x = -41

Divide each side by '-8'.
x = 5.125

Simplifying
x = 5.125

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