5x+(4x+3)=7x-(5-x)

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Solution for 5x+(4x+3)=7x-(5-x) equation:


Simplifying
5x + (4x + 3) = 7x + -1(5 + -1x)

Reorder the terms:
5x + (3 + 4x) = 7x + -1(5 + -1x)

Remove parenthesis around (3 + 4x)
5x + 3 + 4x = 7x + -1(5 + -1x)

Reorder the terms:
3 + 5x + 4x = 7x + -1(5 + -1x)

Combine like terms: 5x + 4x = 9x
3 + 9x = 7x + -1(5 + -1x)
3 + 9x = 7x + (5 * -1 + -1x * -1)
3 + 9x = 7x + (-5 + 1x)

Reorder the terms:
3 + 9x = -5 + 7x + 1x

Combine like terms: 7x + 1x = 8x
3 + 9x = -5 + 8x

Solving
3 + 9x = -5 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
3 + 9x + -8x = -5 + 8x + -8x

Combine like terms: 9x + -8x = 1x
3 + 1x = -5 + 8x + -8x

Combine like terms: 8x + -8x = 0
3 + 1x = -5 + 0
3 + 1x = -5

Add '-3' to each side of the equation.
3 + -3 + 1x = -5 + -3

Combine like terms: 3 + -3 = 0
0 + 1x = -5 + -3
1x = -5 + -3

Combine like terms: -5 + -3 = -8
1x = -8

Divide each side by '1'.
x = -8

Simplifying
x = -8

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