17x-6(5-4x)=4(p-5)-19

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Solution for 17x-6(5-4x)=4(p-5)-19 equation:


Simplifying
17x + -6(5 + -4x) = 4(p + -5) + -19
17x + (5 * -6 + -4x * -6) = 4(p + -5) + -19
17x + (-30 + 24x) = 4(p + -5) + -19

Reorder the terms:
-30 + 17x + 24x = 4(p + -5) + -19

Combine like terms: 17x + 24x = 41x
-30 + 41x = 4(p + -5) + -19

Reorder the terms:
-30 + 41x = 4(-5 + p) + -19
-30 + 41x = (-5 * 4 + p * 4) + -19
-30 + 41x = (-20 + 4p) + -19

Reorder the terms:
-30 + 41x = -20 + -19 + 4p

Combine like terms: -20 + -19 = -39
-30 + 41x = -39 + 4p

Solving
-30 + 41x = -39 + 4p

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + 41x = -39 + 30 + 4p

Combine like terms: -30 + 30 = 0
0 + 41x = -39 + 30 + 4p
41x = -39 + 30 + 4p

Combine like terms: -39 + 30 = -9
41x = -9 + 4p

Divide each side by '41'.
x = -0.2195121951 + 0.09756097561p

Simplifying
x = -0.2195121951 + 0.09756097561p

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