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

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


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

Reorder the terms:
6(-9 + x) = -4(x + -5)
(-9 * 6 + x * 6) = -4(x + -5)
(-54 + 6x) = -4(x + -5)

Reorder the terms:
-54 + 6x = -4(-5 + x)
-54 + 6x = (-5 * -4 + x * -4)
-54 + 6x = (20 + -4x)

Solving
-54 + 6x = 20 + -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.
-54 + 6x + 4x = 20 + -4x + 4x

Combine like terms: 6x + 4x = 10x
-54 + 10x = 20 + -4x + 4x

Combine like terms: -4x + 4x = 0
-54 + 10x = 20 + 0
-54 + 10x = 20

Add '54' to each side of the equation.
-54 + 54 + 10x = 20 + 54

Combine like terms: -54 + 54 = 0
0 + 10x = 20 + 54
10x = 20 + 54

Combine like terms: 20 + 54 = 74
10x = 74

Divide each side by '10'.
x = 7.4

Simplifying
x = 7.4

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