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

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


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

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

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

Combine like terms: -5 + 17 = 12
12 + 10x + x = 5x + 6(x * 2)

Combine like terms: 10x + x = 11x
12 + 11x = 5x + 6(x * 2)

Reorder the terms for easier multiplication:
12 + 11x = 5x + 6(2x)

Remove parenthesis around (2x)
12 + 11x = 5x + 6 * 2x

Multiply 6 * 2
12 + 11x = 5x + 12x

Combine like terms: 5x + 12x = 17x
12 + 11x = 17x

Solving
12 + 11x = 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
12 + 11x + -17x = 17x + -17x

Combine like terms: 11x + -17x = -6x
12 + -6x = 17x + -17x

Combine like terms: 17x + -17x = 0
12 + -6x = 0

Add '-12' to each side of the equation.
12 + -12 + -6x = 0 + -12

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

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

Divide each side by '-6'.
x = 2

Simplifying
x = 2

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