(5x-3)=(7x+4)

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Solution for (5x-3)=(7x+4) equation:


Simplifying
(5x + -3) = (7x + 4)

Reorder the terms:
(-3 + 5x) = (7x + 4)

Remove parenthesis around (-3 + 5x)
-3 + 5x = (7x + 4)

Reorder the terms:
-3 + 5x = (4 + 7x)

Remove parenthesis around (4 + 7x)
-3 + 5x = 4 + 7x

Solving
-3 + 5x = 4 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-3 + 5x + -7x = 4 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-3 + -2x = 4 + 7x + -7x

Combine like terms: 7x + -7x = 0
-3 + -2x = 4 + 0
-3 + -2x = 4

Add '3' to each side of the equation.
-3 + 3 + -2x = 4 + 3

Combine like terms: -3 + 3 = 0
0 + -2x = 4 + 3
-2x = 4 + 3

Combine like terms: 4 + 3 = 7
-2x = 7

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5

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