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

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


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

Reorder the terms:
2(5 + 4r) + -4(r + 2) = 4
(5 * 2 + 4r * 2) + -4(r + 2) = 4
(10 + 8r) + -4(r + 2) = 4

Reorder the terms:
10 + 8r + -4(2 + r) = 4
10 + 8r + (2 * -4 + r * -4) = 4
10 + 8r + (-8 + -4r) = 4

Reorder the terms:
10 + -8 + 8r + -4r = 4

Combine like terms: 10 + -8 = 2
2 + 8r + -4r = 4

Combine like terms: 8r + -4r = 4r
2 + 4r = 4

Solving
2 + 4r = 4

Solving for variable 'r'.

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

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

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

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

Divide each side by '4'.
r = 0.5

Simplifying
r = 0.5

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