7r-4r+2=r-4

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Solution for 7r-4r+2=r-4 equation:


Simplifying
7r + -4r + 2 = r + -4

Reorder the terms:
2 + 7r + -4r = r + -4

Combine like terms: 7r + -4r = 3r
2 + 3r = r + -4

Reorder the terms:
2 + 3r = -4 + r

Solving
2 + 3r = -4 + r

Solving for variable 'r'.

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

Add '-1r' to each side of the equation.
2 + 3r + -1r = -4 + r + -1r

Combine like terms: 3r + -1r = 2r
2 + 2r = -4 + r + -1r

Combine like terms: r + -1r = 0
2 + 2r = -4 + 0
2 + 2r = -4

Add '-2' to each side of the equation.
2 + -2 + 2r = -4 + -2

Combine like terms: 2 + -2 = 0
0 + 2r = -4 + -2
2r = -4 + -2

Combine like terms: -4 + -2 = -6
2r = -6

Divide each side by '2'.
r = -3

Simplifying
r = -3

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