3(x+2)-9=4x-16

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Solution for 3(x+2)-9=4x-16 equation:


Simplifying
3(x + 2) + -9 = 4x + -16

Reorder the terms:
3(2 + x) + -9 = 4x + -16
(2 * 3 + x * 3) + -9 = 4x + -16
(6 + 3x) + -9 = 4x + -16

Reorder the terms:
6 + -9 + 3x = 4x + -16

Combine like terms: 6 + -9 = -3
-3 + 3x = 4x + -16

Reorder the terms:
-3 + 3x = -16 + 4x

Solving
-3 + 3x = -16 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-3 + 3x + -4x = -16 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-3 + -1x = -16 + 4x + -4x

Combine like terms: 4x + -4x = 0
-3 + -1x = -16 + 0
-3 + -1x = -16

Add '3' to each side of the equation.
-3 + 3 + -1x = -16 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = -16 + 3
-1x = -16 + 3

Combine like terms: -16 + 3 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13

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