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

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


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

Reorder the terms:
-4(4 + x) = 3(x + 4) + -7
(4 * -4 + x * -4) = 3(x + 4) + -7
(-16 + -4x) = 3(x + 4) + -7

Reorder the terms:
-16 + -4x = 3(4 + x) + -7
-16 + -4x = (4 * 3 + x * 3) + -7
-16 + -4x = (12 + 3x) + -7

Reorder the terms:
-16 + -4x = 12 + -7 + 3x

Combine like terms: 12 + -7 = 5
-16 + -4x = 5 + 3x

Solving
-16 + -4x = 5 + 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.
-16 + -4x + -3x = 5 + 3x + -3x

Combine like terms: -4x + -3x = -7x
-16 + -7x = 5 + 3x + -3x

Combine like terms: 3x + -3x = 0
-16 + -7x = 5 + 0
-16 + -7x = 5

Add '16' to each side of the equation.
-16 + 16 + -7x = 5 + 16

Combine like terms: -16 + 16 = 0
0 + -7x = 5 + 16
-7x = 5 + 16

Combine like terms: 5 + 16 = 21
-7x = 21

Divide each side by '-7'.
x = -3

Simplifying
x = -3

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