r-3+r+4=3(r+5)-5(r-10)

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Solution for r-3+r+4=3(r+5)-5(r-10) equation:


Simplifying
r + -3 + r + 4 = 3(r + 5) + -5(r + -10)

Reorder the terms:
-3 + 4 + r + r = 3(r + 5) + -5(r + -10)

Combine like terms: -3 + 4 = 1
1 + r + r = 3(r + 5) + -5(r + -10)

Combine like terms: r + r = 2r
1 + 2r = 3(r + 5) + -5(r + -10)

Reorder the terms:
1 + 2r = 3(5 + r) + -5(r + -10)
1 + 2r = (5 * 3 + r * 3) + -5(r + -10)
1 + 2r = (15 + 3r) + -5(r + -10)

Reorder the terms:
1 + 2r = 15 + 3r + -5(-10 + r)
1 + 2r = 15 + 3r + (-10 * -5 + r * -5)
1 + 2r = 15 + 3r + (50 + -5r)

Reorder the terms:
1 + 2r = 15 + 50 + 3r + -5r

Combine like terms: 15 + 50 = 65
1 + 2r = 65 + 3r + -5r

Combine like terms: 3r + -5r = -2r
1 + 2r = 65 + -2r

Solving
1 + 2r = 65 + -2r

Solving for variable 'r'.

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

Add '2r' to each side of the equation.
1 + 2r + 2r = 65 + -2r + 2r

Combine like terms: 2r + 2r = 4r
1 + 4r = 65 + -2r + 2r

Combine like terms: -2r + 2r = 0
1 + 4r = 65 + 0
1 + 4r = 65

Add '-1' to each side of the equation.
1 + -1 + 4r = 65 + -1

Combine like terms: 1 + -1 = 0
0 + 4r = 65 + -1
4r = 65 + -1

Combine like terms: 65 + -1 = 64
4r = 64

Divide each side by '4'.
r = 16

Simplifying
r = 16

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