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

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


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

Reorder the terms:
2(-9 + x) = 3(x + 4)
(-9 * 2 + x * 2) = 3(x + 4)
(-18 + 2x) = 3(x + 4)

Reorder the terms:
-18 + 2x = 3(4 + x)
-18 + 2x = (4 * 3 + x * 3)
-18 + 2x = (12 + 3x)

Solving
-18 + 2x = 12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-18 + 2x + -3x = 12 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-18 + -1x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-18 + -1x = 12 + 0
-18 + -1x = 12

Add '18' to each side of the equation.
-18 + 18 + -1x = 12 + 18

Combine like terms: -18 + 18 = 0
0 + -1x = 12 + 18
-1x = 12 + 18

Combine like terms: 12 + 18 = 30
-1x = 30

Divide each side by '-1'.
x = -30

Simplifying
x = -30

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