(3x+7)-(x+3)=12

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Solution for (3x+7)-(x+3)=12 equation:


Simplifying
(3x + 7) + -1(x + 3) = 12

Reorder the terms:
(7 + 3x) + -1(x + 3) = 12

Remove parenthesis around (7 + 3x)
7 + 3x + -1(x + 3) = 12

Reorder the terms:
7 + 3x + -1(3 + x) = 12
7 + 3x + (3 * -1 + x * -1) = 12
7 + 3x + (-3 + -1x) = 12

Reorder the terms:
7 + -3 + 3x + -1x = 12

Combine like terms: 7 + -3 = 4
4 + 3x + -1x = 12

Combine like terms: 3x + -1x = 2x
4 + 2x = 12

Solving
4 + 2x = 12

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 2x = 12 + -4

Combine like terms: 4 + -4 = 0
0 + 2x = 12 + -4
2x = 12 + -4

Combine like terms: 12 + -4 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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