(7x-2)=(4x+3)

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Solution for (7x-2)=(4x+3) equation:


Simplifying
(7x + -2) = (4x + 3)

Reorder the terms:
(-2 + 7x) = (4x + 3)

Remove parenthesis around (-2 + 7x)
-2 + 7x = (4x + 3)

Reorder the terms:
-2 + 7x = (3 + 4x)

Remove parenthesis around (3 + 4x)
-2 + 7x = 3 + 4x

Solving
-2 + 7x = 3 + 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.
-2 + 7x + -4x = 3 + 4x + -4x

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

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

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

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

Combine like terms: 3 + 2 = 5
3x = 5

Divide each side by '3'.
x = 1.666666667

Simplifying
x = 1.666666667

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