10x+1=9x-x+3

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Solution for 10x+1=9x-x+3 equation:


Simplifying
10x + 1 = 9x + -1x + 3

Reorder the terms:
1 + 10x = 9x + -1x + 3

Reorder the terms:
1 + 10x = 3 + 9x + -1x

Combine like terms: 9x + -1x = 8x
1 + 10x = 3 + 8x

Solving
1 + 10x = 3 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
1 + 10x + -8x = 3 + 8x + -8x

Combine like terms: 10x + -8x = 2x
1 + 2x = 3 + 8x + -8x

Combine like terms: 8x + -8x = 0
1 + 2x = 3 + 0
1 + 2x = 3

Add '-1' to each side of the equation.
1 + -1 + 2x = 3 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 3 + -1
2x = 3 + -1

Combine like terms: 3 + -1 = 2
2x = 2

Divide each side by '2'.
x = 1

Simplifying
x = 1

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