17x-4=4(4x+3)-8

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Solution for 17x-4=4(4x+3)-8 equation:


Simplifying
17x + -4 = 4(4x + 3) + -8

Reorder the terms:
-4 + 17x = 4(4x + 3) + -8

Reorder the terms:
-4 + 17x = 4(3 + 4x) + -8
-4 + 17x = (3 * 4 + 4x * 4) + -8
-4 + 17x = (12 + 16x) + -8

Reorder the terms:
-4 + 17x = 12 + -8 + 16x

Combine like terms: 12 + -8 = 4
-4 + 17x = 4 + 16x

Solving
-4 + 17x = 4 + 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.
-4 + 17x + -16x = 4 + 16x + -16x

Combine like terms: 17x + -16x = 1x
-4 + 1x = 4 + 16x + -16x

Combine like terms: 16x + -16x = 0
-4 + 1x = 4 + 0
-4 + 1x = 4

Add '4' to each side of the equation.
-4 + 4 + 1x = 4 + 4

Combine like terms: -4 + 4 = 0
0 + 1x = 4 + 4
1x = 4 + 4

Combine like terms: 4 + 4 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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