(4x+6)-(3+3x)=7

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Solution for (4x+6)-(3+3x)=7 equation:


Simplifying
(4x + 6) + -1(3 + 3x) = 7

Reorder the terms:
(6 + 4x) + -1(3 + 3x) = 7

Remove parenthesis around (6 + 4x)
6 + 4x + -1(3 + 3x) = 7
6 + 4x + (3 * -1 + 3x * -1) = 7
6 + 4x + (-3 + -3x) = 7

Reorder the terms:
6 + -3 + 4x + -3x = 7

Combine like terms: 6 + -3 = 3
3 + 4x + -3x = 7

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

Solving
3 + 1x = 7

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 = 7 + -3

Combine like terms: 3 + -3 = 0
0 + 1x = 7 + -3
1x = 7 + -3

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

Divide each side by '1'.
x = 4

Simplifying
x = 4

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