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

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


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

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

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

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

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

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

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

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

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

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

Combine like terms: -7 + -2 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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