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

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


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

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

Reorder the terms:
12 + 4x = 9(-2 + x)
12 + 4x = (-2 * 9 + x * 9)
12 + 4x = (-18 + 9x)

Solving
12 + 4x = -18 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
12 + 4x + -9x = -18 + 9x + -9x

Combine like terms: 4x + -9x = -5x
12 + -5x = -18 + 9x + -9x

Combine like terms: 9x + -9x = 0
12 + -5x = -18 + 0
12 + -5x = -18

Add '-12' to each side of the equation.
12 + -12 + -5x = -18 + -12

Combine like terms: 12 + -12 = 0
0 + -5x = -18 + -12
-5x = -18 + -12

Combine like terms: -18 + -12 = -30
-5x = -30

Divide each side by '-5'.
x = 6

Simplifying
x = 6

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