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

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


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

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

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

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

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

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

Combine like terms: 3x + -4x = -1x
7 + -1x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
7 + -1x = 2 + 0
7 + -1x = 2

Add '-7' to each side of the equation.
7 + -7 + -1x = 2 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 2 + -7
-1x = 2 + -7

Combine like terms: 2 + -7 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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