1+(4-x)=14-(5+3x)

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Solution for 1+(4-x)=14-(5+3x) equation:


Simplifying
1 + (4 + -1x) = 14 + -1(5 + 3x)

Remove parenthesis around (4 + -1x)
1 + 4 + -1x = 14 + -1(5 + 3x)

Combine like terms: 1 + 4 = 5
5 + -1x = 14 + -1(5 + 3x)
5 + -1x = 14 + (5 * -1 + 3x * -1)
5 + -1x = 14 + (-5 + -3x)

Combine like terms: 14 + -5 = 9
5 + -1x = 9 + -3x

Solving
5 + -1x = 9 + -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.
5 + -1x + 3x = 9 + -3x + 3x

Combine like terms: -1x + 3x = 2x
5 + 2x = 9 + -3x + 3x

Combine like terms: -3x + 3x = 0
5 + 2x = 9 + 0
5 + 2x = 9

Add '-5' to each side of the equation.
5 + -5 + 2x = 9 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 9 + -5
2x = 9 + -5

Combine like terms: 9 + -5 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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