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

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


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

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

Reorder the terms:
6 + -5 + 2x = 17 + -4x

Combine like terms: 6 + -5 = 1
1 + 2x = 17 + -4x

Solving
1 + 2x = 17 + -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.
1 + 2x + 4x = 17 + -4x + 4x

Combine like terms: 2x + 4x = 6x
1 + 6x = 17 + -4x + 4x

Combine like terms: -4x + 4x = 0
1 + 6x = 17 + 0
1 + 6x = 17

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

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

Combine like terms: 17 + -1 = 16
6x = 16

Divide each side by '6'.
x = 2.666666667

Simplifying
x = 2.666666667

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