5-(2x-7)=14-9+7x

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Solution for 5-(2x-7)=14-9+7x equation:


Simplifying
5 + -1(2x + -7) = 14 + -9 + 7x

Reorder the terms:
5 + -1(-7 + 2x) = 14 + -9 + 7x
5 + (-7 * -1 + 2x * -1) = 14 + -9 + 7x
5 + (7 + -2x) = 14 + -9 + 7x

Combine like terms: 5 + 7 = 12
12 + -2x = 14 + -9 + 7x

Combine like terms: 14 + -9 = 5
12 + -2x = 5 + 7x

Solving
12 + -2x = 5 + 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.
12 + -2x + -7x = 5 + 7x + -7x

Combine like terms: -2x + -7x = -9x
12 + -9x = 5 + 7x + -7x

Combine like terms: 7x + -7x = 0
12 + -9x = 5 + 0
12 + -9x = 5

Add '-12' to each side of the equation.
12 + -12 + -9x = 5 + -12

Combine like terms: 12 + -12 = 0
0 + -9x = 5 + -12
-9x = 5 + -12

Combine like terms: 5 + -12 = -7
-9x = -7

Divide each side by '-9'.
x = 0.7777777778

Simplifying
x = 0.7777777778

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