17x-5=4(4x+4)-11

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Solution for 17x-5=4(4x+4)-11 equation:


Simplifying
17x + -5 = 4(4x + 4) + -11

Reorder the terms:
-5 + 17x = 4(4x + 4) + -11

Reorder the terms:
-5 + 17x = 4(4 + 4x) + -11
-5 + 17x = (4 * 4 + 4x * 4) + -11
-5 + 17x = (16 + 16x) + -11

Reorder the terms:
-5 + 17x = 16 + -11 + 16x

Combine like terms: 16 + -11 = 5
-5 + 17x = 5 + 16x

Solving
-5 + 17x = 5 + 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.
-5 + 17x + -16x = 5 + 16x + -16x

Combine like terms: 17x + -16x = 1x
-5 + 1x = 5 + 16x + -16x

Combine like terms: 16x + -16x = 0
-5 + 1x = 5 + 0
-5 + 1x = 5

Add '5' to each side of the equation.
-5 + 5 + 1x = 5 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = 5 + 5
1x = 5 + 5

Combine like terms: 5 + 5 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10

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