(4x+7)-(4+3x)=9

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Solution for (4x+7)-(4+3x)=9 equation:


Simplifying
(4x + 7) + -1(4 + 3x) = 9

Reorder the terms:
(7 + 4x) + -1(4 + 3x) = 9

Remove parenthesis around (7 + 4x)
7 + 4x + -1(4 + 3x) = 9
7 + 4x + (4 * -1 + 3x * -1) = 9
7 + 4x + (-4 + -3x) = 9

Reorder the terms:
7 + -4 + 4x + -3x = 9

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

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

Solving
3 + 1x = 9

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 1x = 9 + -3

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

Combine like terms: 9 + -3 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6

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