14(x-1)=7(2-x)+7x

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Solution for 14(x-1)=7(2-x)+7x equation:


Simplifying
14(x + -1) = 7(2 + -1x) + 7x

Reorder the terms:
14(-1 + x) = 7(2 + -1x) + 7x
(-1 * 14 + x * 14) = 7(2 + -1x) + 7x
(-14 + 14x) = 7(2 + -1x) + 7x
-14 + 14x = (2 * 7 + -1x * 7) + 7x
-14 + 14x = (14 + -7x) + 7x

Combine like terms: -7x + 7x = 0
-14 + 14x = 14 + 0
-14 + 14x = 14

Solving
-14 + 14x = 14

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 14x = 14 + 14

Combine like terms: -14 + 14 = 0
0 + 14x = 14 + 14
14x = 14 + 14

Combine like terms: 14 + 14 = 28
14x = 28

Divide each side by '14'.
x = 2

Simplifying
x = 2

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