2(r-2)=7(r+10)

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Solution for 2(r-2)=7(r+10) equation:


Simplifying
2(r + -2) = 7(r + 10)

Reorder the terms:
2(-2 + r) = 7(r + 10)
(-2 * 2 + r * 2) = 7(r + 10)
(-4 + 2r) = 7(r + 10)

Reorder the terms:
-4 + 2r = 7(10 + r)
-4 + 2r = (10 * 7 + r * 7)
-4 + 2r = (70 + 7r)

Solving
-4 + 2r = 70 + 7r

Solving for variable 'r'.

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

Add '-7r' to each side of the equation.
-4 + 2r + -7r = 70 + 7r + -7r

Combine like terms: 2r + -7r = -5r
-4 + -5r = 70 + 7r + -7r

Combine like terms: 7r + -7r = 0
-4 + -5r = 70 + 0
-4 + -5r = 70

Add '4' to each side of the equation.
-4 + 4 + -5r = 70 + 4

Combine like terms: -4 + 4 = 0
0 + -5r = 70 + 4
-5r = 70 + 4

Combine like terms: 70 + 4 = 74
-5r = 74

Divide each side by '-5'.
r = -14.8

Simplifying
r = -14.8

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