3(x+4)-5=2x+9

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Solution for 3(x+4)-5=2x+9 equation:


Simplifying
3(x + 4) + -5 = 2x + 9

Reorder the terms:
3(4 + x) + -5 = 2x + 9
(4 * 3 + x * 3) + -5 = 2x + 9
(12 + 3x) + -5 = 2x + 9

Reorder the terms:
12 + -5 + 3x = 2x + 9

Combine like terms: 12 + -5 = 7
7 + 3x = 2x + 9

Reorder the terms:
7 + 3x = 9 + 2x

Solving
7 + 3x = 9 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
7 + 3x + -2x = 9 + 2x + -2x

Combine like terms: 3x + -2x = 1x
7 + 1x = 9 + 2x + -2x

Combine like terms: 2x + -2x = 0
7 + 1x = 9 + 0
7 + 1x = 9

Add '-7' to each side of the equation.
7 + -7 + 1x = 9 + -7

Combine like terms: 7 + -7 = 0
0 + 1x = 9 + -7
1x = 9 + -7

Combine like terms: 9 + -7 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

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