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

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


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

Reorder the terms:
9(-3 + x) = 4(x + 2)
(-3 * 9 + x * 9) = 4(x + 2)
(-27 + 9x) = 4(x + 2)

Reorder the terms:
-27 + 9x = 4(2 + x)
-27 + 9x = (2 * 4 + x * 4)
-27 + 9x = (8 + 4x)

Solving
-27 + 9x = 8 + 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.
-27 + 9x + -4x = 8 + 4x + -4x

Combine like terms: 9x + -4x = 5x
-27 + 5x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-27 + 5x = 8 + 0
-27 + 5x = 8

Add '27' to each side of the equation.
-27 + 27 + 5x = 8 + 27

Combine like terms: -27 + 27 = 0
0 + 5x = 8 + 27
5x = 8 + 27

Combine like terms: 8 + 27 = 35
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7

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