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

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


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

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

Reorder the terms for easier multiplication:
x + 1 * 1 * -4(4 + x) = x + -4

Multiply 1 * 1
x + 1 * -4(4 + x) = x + -4

Multiply 1 * -4
x + -4(4 + x) = x + -4
x + (4 * -4 + x * -4) = x + -4
x + (-16 + -4x) = x + -4

Reorder the terms:
-16 + x + -4x = x + -4

Combine like terms: x + -4x = -3x
-16 + -3x = x + -4

Reorder the terms:
-16 + -3x = -4 + x

Solving
-16 + -3x = -4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-16 + -3x + -1x = -4 + x + -1x

Combine like terms: -3x + -1x = -4x
-16 + -4x = -4 + x + -1x

Combine like terms: x + -1x = 0
-16 + -4x = -4 + 0
-16 + -4x = -4

Add '16' to each side of the equation.
-16 + 16 + -4x = -4 + 16

Combine like terms: -16 + 16 = 0
0 + -4x = -4 + 16
-4x = -4 + 16

Combine like terms: -4 + 16 = 12
-4x = 12

Divide each side by '-4'.
x = -3

Simplifying
x = -3

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