7(2-x)=2(x-7)

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Solution for 7(2-x)=2(x-7) equation:


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

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

Solving
14 + -7x = -14 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
14 + -7x + -2x = -14 + 2x + -2x

Combine like terms: -7x + -2x = -9x
14 + -9x = -14 + 2x + -2x

Combine like terms: 2x + -2x = 0
14 + -9x = -14 + 0
14 + -9x = -14

Add '-14' to each side of the equation.
14 + -14 + -9x = -14 + -14

Combine like terms: 14 + -14 = 0
0 + -9x = -14 + -14
-9x = -14 + -14

Combine like terms: -14 + -14 = -28
-9x = -28

Divide each side by '-9'.
x = 3.111111111

Simplifying
x = 3.111111111

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