3(x+8)=4(x+5)+1

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Solution for 3(x+8)=4(x+5)+1 equation: 


Simplifying
3(x + 8) = 4(x + 5) + 1

Reorder the terms:
3(8 + x) = 4(x + 5) + 1
(8 * 3 + x * 3) = 4(x + 5) + 1
(24 + 3x) = 4(x + 5) + 1

Reorder the terms:
24 + 3x = 4(5 + x) + 1
24 + 3x = (5 * 4 + x * 4) + 1
24 + 3x = (20 + 4x) + 1

Reorder the terms:
24 + 3x = 20 + 1 + 4x

Combine like terms: 20 + 1 = 21
24 + 3x = 21 + 4x

Solving
24 + 3x = 21 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
24 + 3x + -4x = 21 + 4x + -4x

Combine like terms: 3x + -4x = -1x
24 + -1x = 21 + 4x + -4x

Combine like terms: 4x + -4x = 0
24 + -1x = 21 + 0
24 + -1x = 21

Add '-24' to each side of the equation.
24 + -24 + -1x = 21 + -24

Combine like terms: 24 + -24 = 0
0 + -1x = 21 + -24
-1x = 21 + -24

Combine like terms: 21 + -24 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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