2(5r-7)=4(3r+7)

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Solution for 2(5r-7)=4(3r+7) equation:


Simplifying
2(5r + -7) = 4(3r + 7)

Reorder the terms:
2(-7 + 5r) = 4(3r + 7)
(-7 * 2 + 5r * 2) = 4(3r + 7)
(-14 + 10r) = 4(3r + 7)

Reorder the terms:
-14 + 10r = 4(7 + 3r)
-14 + 10r = (7 * 4 + 3r * 4)
-14 + 10r = (28 + 12r)

Solving
-14 + 10r = 28 + 12r

Solving for variable 'r'.

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

Add '-12r' to each side of the equation.
-14 + 10r + -12r = 28 + 12r + -12r

Combine like terms: 10r + -12r = -2r
-14 + -2r = 28 + 12r + -12r

Combine like terms: 12r + -12r = 0
-14 + -2r = 28 + 0
-14 + -2r = 28

Add '14' to each side of the equation.
-14 + 14 + -2r = 28 + 14

Combine like terms: -14 + 14 = 0
0 + -2r = 28 + 14
-2r = 28 + 14

Combine like terms: 28 + 14 = 42
-2r = 42

Divide each side by '-2'.
r = -21

Simplifying
r = -21

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