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

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


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

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

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

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

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

Solving
4 + 4x = -3 + 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.
4 + 4x + -3x = -3 + 3x + -3x

Combine like terms: 4x + -3x = 1x
4 + 1x = -3 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + 1x = -3 + 0
4 + 1x = -3

Add '-4' to each side of the equation.
4 + -4 + 1x = -3 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = -3 + -4
1x = -3 + -4

Combine like terms: -3 + -4 = -7
1x = -7

Divide each side by '1'.
x = -7

Simplifying
x = -7

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