17x-14=4(4x+5)-6

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Solution for 17x-14=4(4x+5)-6 equation:


Simplifying
17x + -14 = 4(4x + 5) + -6

Reorder the terms:
-14 + 17x = 4(4x + 5) + -6

Reorder the terms:
-14 + 17x = 4(5 + 4x) + -6
-14 + 17x = (5 * 4 + 4x * 4) + -6
-14 + 17x = (20 + 16x) + -6

Reorder the terms:
-14 + 17x = 20 + -6 + 16x

Combine like terms: 20 + -6 = 14
-14 + 17x = 14 + 16x

Solving
-14 + 17x = 14 + 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.
-14 + 17x + -16x = 14 + 16x + -16x

Combine like terms: 17x + -16x = 1x
-14 + 1x = 14 + 16x + -16x

Combine like terms: 16x + -16x = 0
-14 + 1x = 14 + 0
-14 + 1x = 14

Add '14' to each side of the equation.
-14 + 14 + 1x = 14 + 14

Combine like terms: -14 + 14 = 0
0 + 1x = 14 + 14
1x = 14 + 14

Combine like terms: 14 + 14 = 28
1x = 28

Divide each side by '1'.
x = 28

Simplifying
x = 28

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