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

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


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

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

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

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

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

Solving
4 + 3x = -7 + 5x

Solving for variable 'x'.

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

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

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

Combine like terms: 5x + -5x = 0
4 + -2x = -7 + 0
4 + -2x = -7

Add '-4' to each side of the equation.
4 + -4 + -2x = -7 + -4

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

Combine like terms: -7 + -4 = -11
-2x = -11

Divide each side by '-2'.
x = 5.5

Simplifying
x = 5.5

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