-4(x-4)=7x+27

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Solution for -4(x-4)=7x+27 equation: 


Simplifying
-4(x + -4) = 7x + 27

Reorder the terms:
-4(-4 + x) = 7x + 27
(-4 * -4 + x * -4) = 7x + 27
(16 + -4x) = 7x + 27

Reorder the terms:
16 + -4x = 27 + 7x

Solving
16 + -4x = 27 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
16 + -4x + -7x = 27 + 7x + -7x

Combine like terms: -4x + -7x = -11x
16 + -11x = 27 + 7x + -7x

Combine like terms: 7x + -7x = 0
16 + -11x = 27 + 0
16 + -11x = 27

Add '-16' to each side of the equation.
16 + -16 + -11x = 27 + -16

Combine like terms: 16 + -16 = 0
0 + -11x = 27 + -16
-11x = 27 + -16

Combine like terms: 27 + -16 = 11
-11x = 11

Divide each side by '-11'.
x = -1

Simplifying
x = -1

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