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

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


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

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

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

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

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

Solving
-4 + 7x = 5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-4 + 7x + -4x = 5 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-4 + 3x = 5 + 0
-4 + 3x = 5

Add '4' to each side of the equation.
-4 + 4 + 3x = 5 + 4

Combine like terms: -4 + 4 = 0
0 + 3x = 5 + 4
3x = 5 + 4

Combine like terms: 5 + 4 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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