17x-1=4(4x+3)-11

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Solution for 17x-1=4(4x+3)-11 equation:


Simplifying
17x + -1 = 4(4x + 3) + -11

Reorder the terms:
-1 + 17x = 4(4x + 3) + -11

Reorder the terms:
-1 + 17x = 4(3 + 4x) + -11
-1 + 17x = (3 * 4 + 4x * 4) + -11
-1 + 17x = (12 + 16x) + -11

Reorder the terms:
-1 + 17x = 12 + -11 + 16x

Combine like terms: 12 + -11 = 1
-1 + 17x = 1 + 16x

Solving
-1 + 17x = 1 + 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.
-1 + 17x + -16x = 1 + 16x + -16x

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

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

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

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

Combine like terms: 1 + 1 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

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