17x-19=4(4x+5)-1

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Solution for 17x-19=4(4x+5)-1 equation:


Simplifying
17x + -19 = 4(4x + 5) + -1

Reorder the terms:
-19 + 17x = 4(4x + 5) + -1

Reorder the terms:
-19 + 17x = 4(5 + 4x) + -1
-19 + 17x = (5 * 4 + 4x * 4) + -1
-19 + 17x = (20 + 16x) + -1

Reorder the terms:
-19 + 17x = 20 + -1 + 16x

Combine like terms: 20 + -1 = 19
-19 + 17x = 19 + 16x

Solving
-19 + 17x = 19 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-19 + 17x + -16x = 19 + 16x + -16x

Combine like terms: 17x + -16x = 1x
-19 + 1x = 19 + 16x + -16x

Combine like terms: 16x + -16x = 0
-19 + 1x = 19 + 0
-19 + 1x = 19

Add '19' to each side of the equation.
-19 + 19 + 1x = 19 + 19

Combine like terms: -19 + 19 = 0
0 + 1x = 19 + 19
1x = 19 + 19

Combine like terms: 19 + 19 = 38
1x = 38

Divide each side by '1'.
x = 38

Simplifying
x = 38

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