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

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


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

Remove parenthesis around (4 + -1x)
3x + 4 + -1x = 5(2 + -1x) + 4

Reorder the terms:
4 + 3x + -1x = 5(2 + -1x) + 4

Combine like terms: 3x + -1x = 2x
4 + 2x = 5(2 + -1x) + 4
4 + 2x = (2 * 5 + -1x * 5) + 4
4 + 2x = (10 + -5x) + 4

Reorder the terms:
4 + 2x = 10 + 4 + -5x

Combine like terms: 10 + 4 = 14
4 + 2x = 14 + -5x

Solving
4 + 2x = 14 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
4 + 2x + 5x = 14 + -5x + 5x

Combine like terms: 2x + 5x = 7x
4 + 7x = 14 + -5x + 5x

Combine like terms: -5x + 5x = 0
4 + 7x = 14 + 0
4 + 7x = 14

Add '-4' to each side of the equation.
4 + -4 + 7x = 14 + -4

Combine like terms: 4 + -4 = 0
0 + 7x = 14 + -4
7x = 14 + -4

Combine like terms: 14 + -4 = 10
7x = 10

Divide each side by '7'.
x = 1.428571429

Simplifying
x = 1.428571429

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