5(2x-1)+x+17=5x+6

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Solution for 5(2x-1)+x+17=5x+6 equation:


Simplifying
5(2x + -1) + x + 17 = 5x + 6

Reorder the terms:
5(-1 + 2x) + x + 17 = 5x + 6
(-1 * 5 + 2x * 5) + x + 17 = 5x + 6
(-5 + 10x) + x + 17 = 5x + 6

Reorder the terms:
-5 + 17 + 10x + x = 5x + 6

Combine like terms: -5 + 17 = 12
12 + 10x + x = 5x + 6

Combine like terms: 10x + x = 11x
12 + 11x = 5x + 6

Reorder the terms:
12 + 11x = 6 + 5x

Solving
12 + 11x = 6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
12 + 11x + -5x = 6 + 5x + -5x

Combine like terms: 11x + -5x = 6x
12 + 6x = 6 + 5x + -5x

Combine like terms: 5x + -5x = 0
12 + 6x = 6 + 0
12 + 6x = 6

Add '-12' to each side of the equation.
12 + -12 + 6x = 6 + -12

Combine like terms: 12 + -12 = 0
0 + 6x = 6 + -12
6x = 6 + -12

Combine like terms: 6 + -12 = -6
6x = -6

Divide each side by '6'.
x = -1

Simplifying
x = -1

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