# 2x-3(x+r)=-5

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## Solution for 2x-3(x+r)=-5 equation:

Simplifying
2x + -3(x + r) = -5
Reorder the terms:
2x + -3(r + x) = -5
2x + (r * -3 + x * -3) = -5
2x + (-3r + -3x) = -5
Reorder the terms:
-3r + 2x + -3x = -5
Combine like terms: 2x + -3x = -1x
-3r + -1x = -5
Solving
-3r + -1x = -5
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add 'x' to each side of the equation.
-3r + -1x + x = -5 + x
Combine like terms: -1x + x = 0
-3r + 0 = -5 + x
-3r = -5 + x
Divide each side by '-3'.
r = 1.666666667 + -0.3333333333x
Simplifying
r = 1.666666667 + -0.3333333333x`

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