5-(x-7)=x-4

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Solution for 5-(x-7)=x-4 equation:


Simplifying
5 + -1(x + -7) = x + -4

Reorder the terms:
5 + -1(-7 + x) = x + -4
5 + (-7 * -1 + x * -1) = x + -4
5 + (7 + -1x) = x + -4

Combine like terms: 5 + 7 = 12
12 + -1x = x + -4

Reorder the terms:
12 + -1x = -4 + x

Solving
12 + -1x = -4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
12 + -1x + -1x = -4 + x + -1x

Combine like terms: -1x + -1x = -2x
12 + -2x = -4 + x + -1x

Combine like terms: x + -1x = 0
12 + -2x = -4 + 0
12 + -2x = -4

Add '-12' to each side of the equation.
12 + -12 + -2x = -4 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = -4 + -12
-2x = -4 + -12

Combine like terms: -4 + -12 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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