2r-9(2r+5)=7(2x+3)

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Solution for 2r-9(2r+5)=7(2x+3) equation:


Simplifying
2r + -9(2r + 5) = 7(2x + 3)

Reorder the terms:
2r + -9(5 + 2r) = 7(2x + 3)
2r + (5 * -9 + 2r * -9) = 7(2x + 3)
2r + (-45 + -18r) = 7(2x + 3)

Reorder the terms:
-45 + 2r + -18r = 7(2x + 3)

Combine like terms: 2r + -18r = -16r
-45 + -16r = 7(2x + 3)

Reorder the terms:
-45 + -16r = 7(3 + 2x)
-45 + -16r = (3 * 7 + 2x * 7)
-45 + -16r = (21 + 14x)

Solving
-45 + -16r = 21 + 14x

Solving for variable 'r'.

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

Add '45' to each side of the equation.
-45 + 45 + -16r = 21 + 45 + 14x

Combine like terms: -45 + 45 = 0
0 + -16r = 21 + 45 + 14x
-16r = 21 + 45 + 14x

Combine like terms: 21 + 45 = 66
-16r = 66 + 14x

Divide each side by '-16'.
r = -4.125 + -0.875x

Simplifying
r = -4.125 + -0.875x

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