2(r-5)=5(r+-7)

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Solution for 2(r-5)=5(r+-7) equation:


Simplifying
2(r + -5) = 5(r + -7)

Reorder the terms:
2(-5 + r) = 5(r + -7)
(-5 * 2 + r * 2) = 5(r + -7)
(-10 + 2r) = 5(r + -7)

Reorder the terms:
-10 + 2r = 5(-7 + r)
-10 + 2r = (-7 * 5 + r * 5)
-10 + 2r = (-35 + 5r)

Solving
-10 + 2r = -35 + 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
-10 + 2r + -5r = -35 + 5r + -5r

Combine like terms: 2r + -5r = -3r
-10 + -3r = -35 + 5r + -5r

Combine like terms: 5r + -5r = 0
-10 + -3r = -35 + 0
-10 + -3r = -35

Add '10' to each side of the equation.
-10 + 10 + -3r = -35 + 10

Combine like terms: -10 + 10 = 0
0 + -3r = -35 + 10
-3r = -35 + 10

Combine like terms: -35 + 10 = -25
-3r = -25

Divide each side by '-3'.
r = 8.333333333

Simplifying
r = 8.333333333

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