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

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


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

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

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

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

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

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

Combine like terms: 3x + -3x = 0
-4 + -2x = 3 + 0
-4 + -2x = 3

Add '4' to each side of the equation.
-4 + 4 + -2x = 3 + 4

Combine like terms: -4 + 4 = 0
0 + -2x = 3 + 4
-2x = 3 + 4

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

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5

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