4(x-4)-(3x+5)=8

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Solution for 4(x-4)-(3x+5)=8 equation:


Simplifying
4(x + -4) + -1(3x + 5) = 8

Reorder the terms:
4(-4 + x) + -1(3x + 5) = 8
(-4 * 4 + x * 4) + -1(3x + 5) = 8
(-16 + 4x) + -1(3x + 5) = 8

Reorder the terms:
-16 + 4x + -1(5 + 3x) = 8
-16 + 4x + (5 * -1 + 3x * -1) = 8
-16 + 4x + (-5 + -3x) = 8

Reorder the terms:
-16 + -5 + 4x + -3x = 8

Combine like terms: -16 + -5 = -21
-21 + 4x + -3x = 8

Combine like terms: 4x + -3x = 1x
-21 + 1x = 8

Solving
-21 + 1x = 8

Solving for variable 'x'.

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

Add '21' to each side of the equation.
-21 + 21 + 1x = 8 + 21

Combine like terms: -21 + 21 = 0
0 + 1x = 8 + 21
1x = 8 + 21

Combine like terms: 8 + 21 = 29
1x = 29

Divide each side by '1'.
x = 29

Simplifying
x = 29

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