2(5r-6)-3(r+7)=

Solution for 2(5r-6)-3(r+7)= equation:

Simplifying
2(5r + -6) + -3(r + 7) = 0

Reorder the terms:
2(-6 + 5r) + -3(r + 7) = 0
(-6 * 2 + 5r * 2) + -3(r + 7) = 0
(-12 + 10r) + -3(r + 7) = 0

Reorder the terms:
-12 + 10r + -3(7 + r) = 0
-12 + 10r + (7 * -3 + r * -3) = 0
-12 + 10r + (-21 + -3r) = 0

Reorder the terms:
-12 + -21 + 10r + -3r = 0

Combine like terms: -12 + -21 = -33
-33 + 10r + -3r = 0

Combine like terms: 10r + -3r = 7r
-33 + 7r = 0

Solving
-33 + 7r = 0

Solving for variable 'r'.

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

Add '33' to each side of the equation.
-33 + 33 + 7r = 0 + 33

Combine like terms: -33 + 33 = 0
0 + 7r = 0 + 33
7r = 0 + 33

Combine like terms: 0 + 33 = 33
7r = 33

Divide each side by '7'.
r = 4.714285714

Simplifying
r = 4.714285714