4(4x-3)=(x-5)-19

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Solution for 4(4x-3)=(x-5)-19 equation:


Simplifying
4(4x + -3) = (x + -5) + -19

Reorder the terms:
4(-3 + 4x) = (x + -5) + -19
(-3 * 4 + 4x * 4) = (x + -5) + -19
(-12 + 16x) = (x + -5) + -19

Reorder the terms:
-12 + 16x = (-5 + x) + -19

Remove parenthesis around (-5 + x)
-12 + 16x = -5 + x + -19

Reorder the terms:
-12 + 16x = -5 + -19 + x

Combine like terms: -5 + -19 = -24
-12 + 16x = -24 + x

Solving
-12 + 16x = -24 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-12 + 16x + -1x = -24 + x + -1x

Combine like terms: 16x + -1x = 15x
-12 + 15x = -24 + x + -1x

Combine like terms: x + -1x = 0
-12 + 15x = -24 + 0
-12 + 15x = -24

Add '12' to each side of the equation.
-12 + 12 + 15x = -24 + 12

Combine like terms: -12 + 12 = 0
0 + 15x = -24 + 12
15x = -24 + 12

Combine like terms: -24 + 12 = -12
15x = -12

Divide each side by '15'.
x = -0.8

Simplifying
x = -0.8

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