3r-7=2(4-3r)

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Solution for 3r-7=2(4-3r) equation:


Simplifying
3r + -7 = 2(4 + -3r)

Reorder the terms:
-7 + 3r = 2(4 + -3r)
-7 + 3r = (4 * 2 + -3r * 2)
-7 + 3r = (8 + -6r)

Solving
-7 + 3r = 8 + -6r

Solving for variable 'r'.

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

Add '6r' to each side of the equation.
-7 + 3r + 6r = 8 + -6r + 6r

Combine like terms: 3r + 6r = 9r
-7 + 9r = 8 + -6r + 6r

Combine like terms: -6r + 6r = 0
-7 + 9r = 8 + 0
-7 + 9r = 8

Add '7' to each side of the equation.
-7 + 7 + 9r = 8 + 7

Combine like terms: -7 + 7 = 0
0 + 9r = 8 + 7
9r = 8 + 7

Combine like terms: 8 + 7 = 15
9r = 15

Divide each side by '9'.
r = 1.666666667

Simplifying
r = 1.666666667

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