2x+17=4(x+3)-1

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Solution for 2x+17=4(x+3)-1 equation:


Simplifying
2x + 17 = 4(x + 3) + -1

Reorder the terms:
17 + 2x = 4(x + 3) + -1

Reorder the terms:
17 + 2x = 4(3 + x) + -1
17 + 2x = (3 * 4 + x * 4) + -1
17 + 2x = (12 + 4x) + -1

Reorder the terms:
17 + 2x = 12 + -1 + 4x

Combine like terms: 12 + -1 = 11
17 + 2x = 11 + 4x

Solving
17 + 2x = 11 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
17 + 2x + -4x = 11 + 4x + -4x

Combine like terms: 2x + -4x = -2x
17 + -2x = 11 + 4x + -4x

Combine like terms: 4x + -4x = 0
17 + -2x = 11 + 0
17 + -2x = 11

Add '-17' to each side of the equation.
17 + -17 + -2x = 11 + -17

Combine like terms: 17 + -17 = 0
0 + -2x = 11 + -17
-2x = 11 + -17

Combine like terms: 11 + -17 = -6
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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