3x+14+(2x-7)=7x+(29-4x)

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Solution for 3x+14+(2x-7)=7x+(29-4x) equation:


Simplifying
3x + 14 + (2x + -7) = 7x + (29 + -4x)

Reorder the terms:
3x + 14 + (-7 + 2x) = 7x + (29 + -4x)

Remove parenthesis around (-7 + 2x)
3x + 14 + -7 + 2x = 7x + (29 + -4x)

Reorder the terms:
14 + -7 + 3x + 2x = 7x + (29 + -4x)

Combine like terms: 14 + -7 = 7
7 + 3x + 2x = 7x + (29 + -4x)

Combine like terms: 3x + 2x = 5x
7 + 5x = 7x + (29 + -4x)

Remove parenthesis around (29 + -4x)
7 + 5x = 7x + 29 + -4x

Reorder the terms:
7 + 5x = 29 + 7x + -4x

Combine like terms: 7x + -4x = 3x
7 + 5x = 29 + 3x

Solving
7 + 5x = 29 + 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.
7 + 5x + -3x = 29 + 3x + -3x

Combine like terms: 5x + -3x = 2x
7 + 2x = 29 + 3x + -3x

Combine like terms: 3x + -3x = 0
7 + 2x = 29 + 0
7 + 2x = 29

Add '-7' to each side of the equation.
7 + -7 + 2x = 29 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 29 + -7
2x = 29 + -7

Combine like terms: 29 + -7 = 22
2x = 22

Divide each side by '2'.
x = 11

Simplifying
x = 11

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