4(x-5)=9(x-6)

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Solution for 4(x-5)=9(x-6) equation:


Simplifying
4(x + -5) = 9(x + -6)

Reorder the terms:
4(-5 + x) = 9(x + -6)
(-5 * 4 + x * 4) = 9(x + -6)
(-20 + 4x) = 9(x + -6)

Reorder the terms:
-20 + 4x = 9(-6 + x)
-20 + 4x = (-6 * 9 + x * 9)
-20 + 4x = (-54 + 9x)

Solving
-20 + 4x = -54 + 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.
-20 + 4x + -9x = -54 + 9x + -9x

Combine like terms: 4x + -9x = -5x
-20 + -5x = -54 + 9x + -9x

Combine like terms: 9x + -9x = 0
-20 + -5x = -54 + 0
-20 + -5x = -54

Add '20' to each side of the equation.
-20 + 20 + -5x = -54 + 20

Combine like terms: -20 + 20 = 0
0 + -5x = -54 + 20
-5x = -54 + 20

Combine like terms: -54 + 20 = -34
-5x = -34

Divide each side by '-5'.
x = 6.8

Simplifying
x = 6.8

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