10x+1=5x-1

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Solution for 10x+1=5x-1 equation:


Simplifying
10x + 1 = 5x + -1

Reorder the terms:
1 + 10x = 5x + -1

Reorder the terms:
1 + 10x = -1 + 5x

Solving
1 + 10x = -1 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
1 + 10x + -5x = -1 + 5x + -5x

Combine like terms: 10x + -5x = 5x
1 + 5x = -1 + 5x + -5x

Combine like terms: 5x + -5x = 0
1 + 5x = -1 + 0
1 + 5x = -1

Add '-1' to each side of the equation.
1 + -1 + 5x = -1 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = -1 + -1
5x = -1 + -1

Combine like terms: -1 + -1 = -2
5x = -2

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4

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