4(x-7)=7-x

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


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

Reorder the terms:
4(-7 + x) = 7 + -1x
(-7 * 4 + x * 4) = 7 + -1x
(-28 + 4x) = 7 + -1x

Solving
-28 + 4x = 7 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-28 + 4x + x = 7 + -1x + x

Combine like terms: 4x + x = 5x
-28 + 5x = 7 + -1x + x

Combine like terms: -1x + x = 0
-28 + 5x = 7 + 0
-28 + 5x = 7

Add '28' to each side of the equation.
-28 + 28 + 5x = 7 + 28

Combine like terms: -28 + 28 = 0
0 + 5x = 7 + 28
5x = 7 + 28

Combine like terms: 7 + 28 = 35
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7

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