4(4x-1)-(x+5)=24

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Solution for 4(4x-1)-(x+5)=24 equation:


Simplifying
4(4x + -1) + -1(x + 5) = 24

Reorder the terms:
4(-1 + 4x) + -1(x + 5) = 24
(-1 * 4 + 4x * 4) + -1(x + 5) = 24
(-4 + 16x) + -1(x + 5) = 24

Reorder the terms:
-4 + 16x + -1(5 + x) = 24
-4 + 16x + (5 * -1 + x * -1) = 24
-4 + 16x + (-5 + -1x) = 24

Reorder the terms:
-4 + -5 + 16x + -1x = 24

Combine like terms: -4 + -5 = -9
-9 + 16x + -1x = 24

Combine like terms: 16x + -1x = 15x
-9 + 15x = 24

Solving
-9 + 15x = 24

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 15x = 24 + 9

Combine like terms: -9 + 9 = 0
0 + 15x = 24 + 9
15x = 24 + 9

Combine like terms: 24 + 9 = 33
15x = 33

Divide each side by '15'.
x = 2.2

Simplifying
x = 2.2

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