(38-x)=(7(14-x))

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Solution for (38-x)=(7(14-x)) equation:


Simplifying
(38 + -1x) = (7(14 + -1x))

Remove parenthesis around (38 + -1x)
38 + -1x = (7(14 + -1x))
38 + -1x = ((14 * 7 + -1x * 7))
38 + -1x = ((98 + -7x))
38 + -1x = (98 + -7x)

Remove parenthesis around (98 + -7x)
38 + -1x = 98 + -7x

Solving
38 + -1x = 98 + -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.
38 + -1x + 7x = 98 + -7x + 7x

Combine like terms: -1x + 7x = 6x
38 + 6x = 98 + -7x + 7x

Combine like terms: -7x + 7x = 0
38 + 6x = 98 + 0
38 + 6x = 98

Add '-38' to each side of the equation.
38 + -38 + 6x = 98 + -38

Combine like terms: 38 + -38 = 0
0 + 6x = 98 + -38
6x = 98 + -38

Combine like terms: 98 + -38 = 60
6x = 60

Divide each side by '6'.
x = 10

Simplifying
x = 10

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