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

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Solution for 4x-5=(x-1)+7 equation:


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

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

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

Remove parenthesis around (-1 + x)
-5 + 4x = -1 + x + 7

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

Combine like terms: -1 + 7 = 6
-5 + 4x = 6 + x

Solving
-5 + 4x = 6 + 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.
-5 + 4x + -1x = 6 + x + -1x

Combine like terms: 4x + -1x = 3x
-5 + 3x = 6 + x + -1x

Combine like terms: x + -1x = 0
-5 + 3x = 6 + 0
-5 + 3x = 6

Add '5' to each side of the equation.
-5 + 5 + 3x = 6 + 5

Combine like terms: -5 + 5 = 0
0 + 3x = 6 + 5
3x = 6 + 5

Combine like terms: 6 + 5 = 11
3x = 11

Divide each side by '3'.
x = 3.666666667

Simplifying
x = 3.666666667

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