17x-3=4(4x+2)-5

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Solution for 17x-3=4(4x+2)-5 equation:


Simplifying
17x + -3 = 4(4x + 2) + -5

Reorder the terms:
-3 + 17x = 4(4x + 2) + -5

Reorder the terms:
-3 + 17x = 4(2 + 4x) + -5
-3 + 17x = (2 * 4 + 4x * 4) + -5
-3 + 17x = (8 + 16x) + -5

Reorder the terms:
-3 + 17x = 8 + -5 + 16x

Combine like terms: 8 + -5 = 3
-3 + 17x = 3 + 16x

Solving
-3 + 17x = 3 + 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.
-3 + 17x + -16x = 3 + 16x + -16x

Combine like terms: 17x + -16x = 1x
-3 + 1x = 3 + 16x + -16x

Combine like terms: 16x + -16x = 0
-3 + 1x = 3 + 0
-3 + 1x = 3

Add '3' to each side of the equation.
-3 + 3 + 1x = 3 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = 3 + 3
1x = 3 + 3

Combine like terms: 3 + 3 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6

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