3(r-2)-(r+4)=-2(r-4)

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Solution for 3(r-2)-(r+4)=-2(r-4) equation:


Simplifying
3(r + -2) + -1(r + 4) = -2(r + -4)

Reorder the terms:
3(-2 + r) + -1(r + 4) = -2(r + -4)
(-2 * 3 + r * 3) + -1(r + 4) = -2(r + -4)
(-6 + 3r) + -1(r + 4) = -2(r + -4)

Reorder the terms:
-6 + 3r + -1(4 + r) = -2(r + -4)
-6 + 3r + (4 * -1 + r * -1) = -2(r + -4)
-6 + 3r + (-4 + -1r) = -2(r + -4)

Reorder the terms:
-6 + -4 + 3r + -1r = -2(r + -4)

Combine like terms: -6 + -4 = -10
-10 + 3r + -1r = -2(r + -4)

Combine like terms: 3r + -1r = 2r
-10 + 2r = -2(r + -4)

Reorder the terms:
-10 + 2r = -2(-4 + r)
-10 + 2r = (-4 * -2 + r * -2)
-10 + 2r = (8 + -2r)

Solving
-10 + 2r = 8 + -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.
-10 + 2r + 2r = 8 + -2r + 2r

Combine like terms: 2r + 2r = 4r
-10 + 4r = 8 + -2r + 2r

Combine like terms: -2r + 2r = 0
-10 + 4r = 8 + 0
-10 + 4r = 8

Add '10' to each side of the equation.
-10 + 10 + 4r = 8 + 10

Combine like terms: -10 + 10 = 0
0 + 4r = 8 + 10
4r = 8 + 10

Combine like terms: 8 + 10 = 18
4r = 18

Divide each side by '4'.
r = 4.5

Simplifying
r = 4.5

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