2(4x+3)-5=6x+17

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Solution for 2(4x+3)-5=6x+17 equation:


Simplifying
2(4x + 3) + -5 = 6x + 17

Reorder the terms:
2(3 + 4x) + -5 = 6x + 17
(3 * 2 + 4x * 2) + -5 = 6x + 17
(6 + 8x) + -5 = 6x + 17

Reorder the terms:
6 + -5 + 8x = 6x + 17

Combine like terms: 6 + -5 = 1
1 + 8x = 6x + 17

Reorder the terms:
1 + 8x = 17 + 6x

Solving
1 + 8x = 17 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
1 + 8x + -6x = 17 + 6x + -6x

Combine like terms: 8x + -6x = 2x
1 + 2x = 17 + 6x + -6x

Combine like terms: 6x + -6x = 0
1 + 2x = 17 + 0
1 + 2x = 17

Add '-1' to each side of the equation.
1 + -1 + 2x = 17 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 17 + -1
2x = 17 + -1

Combine like terms: 17 + -1 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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