2(x+4)+1=3(x+1)+4

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Solution for 2(x+4)+1=3(x+1)+4 equation: 


Simplifying
2(x + 4) + 1 = 3(x + 1) + 4

Reorder the terms:
2(4 + x) + 1 = 3(x + 1) + 4
(4 * 2 + x * 2) + 1 = 3(x + 1) + 4
(8 + 2x) + 1 = 3(x + 1) + 4

Reorder the terms:
8 + 1 + 2x = 3(x + 1) + 4

Combine like terms: 8 + 1 = 9
9 + 2x = 3(x + 1) + 4

Reorder the terms:
9 + 2x = 3(1 + x) + 4
9 + 2x = (1 * 3 + x * 3) + 4
9 + 2x = (3 + 3x) + 4

Reorder the terms:
9 + 2x = 3 + 4 + 3x

Combine like terms: 3 + 4 = 7
9 + 2x = 7 + 3x

Solving
9 + 2x = 7 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
9 + 2x + -3x = 7 + 3x + -3x

Combine like terms: 2x + -3x = -1x
9 + -1x = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0
9 + -1x = 7 + 0
9 + -1x = 7

Add '-9' to each side of the equation.
9 + -9 + -1x = 7 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 7 + -9
-1x = 7 + -9

Combine like terms: 7 + -9 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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