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

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


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

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

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

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

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

Solving
-7 + 4x = 5 + 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.
-7 + 4x + -1x = 5 + x + -1x

Combine like terms: 4x + -1x = 3x
-7 + 3x = 5 + x + -1x

Combine like terms: x + -1x = 0
-7 + 3x = 5 + 0
-7 + 3x = 5

Add '7' to each side of the equation.
-7 + 7 + 3x = 5 + 7

Combine like terms: -7 + 7 = 0
0 + 3x = 5 + 7
3x = 5 + 7

Combine like terms: 5 + 7 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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