4(2r+1)-3(2x-5)=29

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Solution for 4(2r+1)-3(2x-5)=29 equation: 


Simplifying
4(2r + 1) + -3(2x + -5) = 29

Reorder the terms:
4(1 + 2r) + -3(2x + -5) = 29
(1 * 4 + 2r * 4) + -3(2x + -5) = 29
(4 + 8r) + -3(2x + -5) = 29

Reorder the terms:
4 + 8r + -3(-5 + 2x) = 29
4 + 8r + (-5 * -3 + 2x * -3) = 29
4 + 8r + (15 + -6x) = 29

Reorder the terms:
4 + 15 + 8r + -6x = 29

Combine like terms: 4 + 15 = 19
19 + 8r + -6x = 29

Solving
19 + 8r + -6x = 29

Solving for variable 'r'.

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

Add '-19' to each side of the equation.
19 + 8r + -19 + -6x = 29 + -19

Reorder the terms:
19 + -19 + 8r + -6x = 29 + -19

Combine like terms: 19 + -19 = 0
0 + 8r + -6x = 29 + -19
8r + -6x = 29 + -19

Combine like terms: 29 + -19 = 10
8r + -6x = 10

Add '6x' to each side of the equation.
8r + -6x + 6x = 10 + 6x

Combine like terms: -6x + 6x = 0
8r + 0 = 10 + 6x
8r = 10 + 6x

Divide each side by '8'.
r = 1.25 + 0.75x

Simplifying
r = 1.25 + 0.75x

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