(3x+7)-(4x-2)=0

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Solution for (3x+7)-(4x-2)=0 equation:


Simplifying
(3x + 7) + -1(4x + -2) = 0

Reorder the terms:
(7 + 3x) + -1(4x + -2) = 0

Remove parenthesis around (7 + 3x)
7 + 3x + -1(4x + -2) = 0

Reorder the terms:
7 + 3x + -1(-2 + 4x) = 0
7 + 3x + (-2 * -1 + 4x * -1) = 0
7 + 3x + (2 + -4x) = 0

Reorder the terms:
7 + 2 + 3x + -4x = 0

Combine like terms: 7 + 2 = 9
9 + 3x + -4x = 0

Combine like terms: 3x + -4x = -1x
9 + -1x = 0

Solving
9 + -1x = 0

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

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

Simplifying
x = 9

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