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

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


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

Reorder the terms:
4(-7 + x) = 5 + (x + -7)
(-7 * 4 + x * 4) = 5 + (x + -7)
(-28 + 4x) = 5 + (x + -7)

Reorder the terms:
-28 + 4x = 5 + (-7 + x)

Remove parenthesis around (-7 + x)
-28 + 4x = 5 + -7 + x

Combine like terms: 5 + -7 = -2
-28 + 4x = -2 + x

Solving
-28 + 4x = -2 + 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.
-28 + 4x + -1x = -2 + x + -1x

Combine like terms: 4x + -1x = 3x
-28 + 3x = -2 + x + -1x

Combine like terms: x + -1x = 0
-28 + 3x = -2 + 0
-28 + 3x = -2

Add '28' to each side of the equation.
-28 + 28 + 3x = -2 + 28

Combine like terms: -28 + 28 = 0
0 + 3x = -2 + 28
3x = -2 + 28

Combine like terms: -2 + 28 = 26
3x = 26

Divide each side by '3'.
x = 8.666666667

Simplifying
x = 8.666666667

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