12(x-3)+40=2x+9

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Solution for 12(x-3)+40=2x+9 equation:


Simplifying
12(x + -3) + 40 = 2x + 9

Reorder the terms:
12(-3 + x) + 40 = 2x + 9
(-3 * 12 + x * 12) + 40 = 2x + 9
(-36 + 12x) + 40 = 2x + 9

Reorder the terms:
-36 + 40 + 12x = 2x + 9

Combine like terms: -36 + 40 = 4
4 + 12x = 2x + 9

Reorder the terms:
4 + 12x = 9 + 2x

Solving
4 + 12x = 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.
4 + 12x + -2x = 9 + 2x + -2x

Combine like terms: 12x + -2x = 10x
4 + 10x = 9 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + 10x = 9 + 0
4 + 10x = 9

Add '-4' to each side of the equation.
4 + -4 + 10x = 9 + -4

Combine like terms: 4 + -4 = 0
0 + 10x = 9 + -4
10x = 9 + -4

Combine like terms: 9 + -4 = 5
10x = 5

Divide each side by '10'.
x = 0.5

Simplifying
x = 0.5

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