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

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


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

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

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

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

Reorder the terms:
-4 + -3 + x + -3x = 4

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

Combine like terms: x + -3x = -2x
-7 + -2x = 4

Solving
-7 + -2x = 4

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + -2x = 4 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = 4 + 7
-2x = 4 + 7

Combine like terms: 4 + 7 = 11
-2x = 11

Divide each side by '-2'.
x = -5.5

Simplifying
x = -5.5

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