2(4x+5)+1=2+3(3x+4)

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


Simplifying
2(4x + 5) + 1 = 2 + 3(3x + 4)

Reorder the terms:
2(5 + 4x) + 1 = 2 + 3(3x + 4)
(5 * 2 + 4x * 2) + 1 = 2 + 3(3x + 4)
(10 + 8x) + 1 = 2 + 3(3x + 4)

Reorder the terms:
10 + 1 + 8x = 2 + 3(3x + 4)

Combine like terms: 10 + 1 = 11
11 + 8x = 2 + 3(3x + 4)

Reorder the terms:
11 + 8x = 2 + 3(4 + 3x)
11 + 8x = 2 + (4 * 3 + 3x * 3)
11 + 8x = 2 + (12 + 9x)

Combine like terms: 2 + 12 = 14
11 + 8x = 14 + 9x

Solving
11 + 8x = 14 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
11 + 8x + -9x = 14 + 9x + -9x

Combine like terms: 8x + -9x = -1x
11 + -1x = 14 + 9x + -9x

Combine like terms: 9x + -9x = 0
11 + -1x = 14 + 0
11 + -1x = 14

Add '-11' to each side of the equation.
11 + -11 + -1x = 14 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 14 + -11
-1x = 14 + -11

Combine like terms: 14 + -11 = 3
-1x = 3

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

Simplifying
x = -3

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