6(x-5)=-5(r-5)

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Solution for 6(x-5)=-5(r-5) equation:


Simplifying
6(x + -5) = -5(r + -5)

Reorder the terms:
6(-5 + x) = -5(r + -5)
(-5 * 6 + x * 6) = -5(r + -5)
(-30 + 6x) = -5(r + -5)

Reorder the terms:
-30 + 6x = -5(-5 + r)
-30 + 6x = (-5 * -5 + r * -5)
-30 + 6x = (25 + -5r)

Solving
-30 + 6x = 25 + -5r

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + 6x = 25 + 30 + -5r

Combine like terms: -30 + 30 = 0
0 + 6x = 25 + 30 + -5r
6x = 25 + 30 + -5r

Combine like terms: 25 + 30 = 55
6x = 55 + -5r

Divide each side by '6'.
x = 9.166666667 + -0.8333333333r

Simplifying
x = 9.166666667 + -0.8333333333r

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