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

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Solution for -7(x-3)+(3x-4)=4x-4+1+x equation:


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

Reorder the terms:
-7(-3 + x) + (3x + -4) = 4x + -4 + 1 + x
(-3 * -7 + x * -7) + (3x + -4) = 4x + -4 + 1 + x
(21 + -7x) + (3x + -4) = 4x + -4 + 1 + x

Reorder the terms:
21 + -7x + (-4 + 3x) = 4x + -4 + 1 + x

Remove parenthesis around (-4 + 3x)
21 + -7x + -4 + 3x = 4x + -4 + 1 + x

Reorder the terms:
21 + -4 + -7x + 3x = 4x + -4 + 1 + x

Combine like terms: 21 + -4 = 17
17 + -7x + 3x = 4x + -4 + 1 + x

Combine like terms: -7x + 3x = -4x
17 + -4x = 4x + -4 + 1 + x

Reorder the terms:
17 + -4x = -4 + 1 + 4x + x

Combine like terms: -4 + 1 = -3
17 + -4x = -3 + 4x + x

Combine like terms: 4x + x = 5x
17 + -4x = -3 + 5x

Solving
17 + -4x = -3 + 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.
17 + -4x + -5x = -3 + 5x + -5x

Combine like terms: -4x + -5x = -9x
17 + -9x = -3 + 5x + -5x

Combine like terms: 5x + -5x = 0
17 + -9x = -3 + 0
17 + -9x = -3

Add '-17' to each side of the equation.
17 + -17 + -9x = -3 + -17

Combine like terms: 17 + -17 = 0
0 + -9x = -3 + -17
-9x = -3 + -17

Combine like terms: -3 + -17 = -20
-9x = -20

Divide each side by '-9'.
x = 2.222222222

Simplifying
x = 2.222222222

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