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

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


Simplifying
3(4 + -1x) + 9 = x + -7
(4 * 3 + -1x * 3) + 9 = x + -7
(12 + -3x) + 9 = x + -7

Reorder the terms:
12 + 9 + -3x = x + -7

Combine like terms: 12 + 9 = 21
21 + -3x = x + -7

Reorder the terms:
21 + -3x = -7 + x

Solving
21 + -3x = -7 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
21 + -3x + -1x = -7 + x + -1x

Combine like terms: -3x + -1x = -4x
21 + -4x = -7 + x + -1x

Combine like terms: x + -1x = 0
21 + -4x = -7 + 0
21 + -4x = -7

Add '-21' to each side of the equation.
21 + -21 + -4x = -7 + -21

Combine like terms: 21 + -21 = 0
0 + -4x = -7 + -21
-4x = -7 + -21

Combine like terms: -7 + -21 = -28
-4x = -28

Divide each side by '-4'.
x = 7

Simplifying
x = 7

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