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 = -6
-5x = -6

Divide each side by '-5'.
x = 1.2

Simplifying
x = 1.2

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