3(x+4)=4x+9

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


Simplifying
3(x + 4) = 4x + 9

Reorder the terms:
3(4 + x) = 4x + 9
(4 * 3 + x * 3) = 4x + 9
(12 + 3x) = 4x + 9

Reorder the terms:
12 + 3x = 9 + 4x

Solving
12 + 3x = 9 + 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.
12 + 3x + -4x = 9 + 4x + -4x

Combine like terms: 3x + -4x = -1x
12 + -1x = 9 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + -1x = 9 + 0
12 + -1x = 9

Add '-12' to each side of the equation.
12 + -12 + -1x = 9 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 9 + -12
-1x = 9 + -12

Combine like terms: 9 + -12 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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