(10x+1)=(7x+9)

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Solution for (10x+1)=(7x+9) equation:


Simplifying
(10x + 1) = (7x + 9)

Reorder the terms:
(1 + 10x) = (7x + 9)

Remove parenthesis around (1 + 10x)
1 + 10x = (7x + 9)

Reorder the terms:
1 + 10x = (9 + 7x)

Remove parenthesis around (9 + 7x)
1 + 10x = 9 + 7x

Solving
1 + 10x = 9 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
1 + 10x + -7x = 9 + 7x + -7x

Combine like terms: 10x + -7x = 3x
1 + 3x = 9 + 7x + -7x

Combine like terms: 7x + -7x = 0
1 + 3x = 9 + 0
1 + 3x = 9

Add '-1' to each side of the equation.
1 + -1 + 3x = 9 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 9 + -1
3x = 9 + -1

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

Divide each side by '3'.
x = 2.666666667

Simplifying
x = 2.666666667

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