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

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


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

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

Reorder the terms:
16 + -4x = -3(-7 + x) + -4
16 + -4x = (-7 * -3 + x * -3) + -4
16 + -4x = (21 + -3x) + -4

Reorder the terms:
16 + -4x = 21 + -4 + -3x

Combine like terms: 21 + -4 = 17
16 + -4x = 17 + -3x

Solving
16 + -4x = 17 + -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 = 17 + -3x + 3x

Combine like terms: -4x + 3x = -1x
16 + -1x = 17 + -3x + 3x

Combine like terms: -3x + 3x = 0
16 + -1x = 17 + 0
16 + -1x = 17

Add '-16' to each side of the equation.
16 + -16 + -1x = 17 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 17 + -16
-1x = 17 + -16

Combine like terms: 17 + -16 = 1
-1x = 1

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

Simplifying
x = -1

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