5x+2(x+4)=4x+2x+17

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


Simplifying
5x + 2(x + 4) = 4x + 2x + 17

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

Reorder the terms:
8 + 5x + 2x = 4x + 2x + 17

Combine like terms: 5x + 2x = 7x
8 + 7x = 4x + 2x + 17

Reorder the terms:
8 + 7x = 17 + 4x + 2x

Combine like terms: 4x + 2x = 6x
8 + 7x = 17 + 6x

Solving
8 + 7x = 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.
8 + 7x + -6x = 17 + 6x + -6x

Combine like terms: 7x + -6x = 1x
8 + 1x = 17 + 6x + -6x

Combine like terms: 6x + -6x = 0
8 + 1x = 17 + 0
8 + 1x = 17

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

Combine like terms: 8 + -8 = 0
0 + 1x = 17 + -8
1x = 17 + -8

Combine like terms: 17 + -8 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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