2(x+1)+3(x+1)=17

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Solution for 2(x+1)+3(x+1)=17 equation:


Simplifying
2(x + 1) + 3(x + 1) = 17

Reorder the terms:
2(1 + x) + 3(x + 1) = 17
(1 * 2 + x * 2) + 3(x + 1) = 17
(2 + 2x) + 3(x + 1) = 17

Reorder the terms:
2 + 2x + 3(1 + x) = 17
2 + 2x + (1 * 3 + x * 3) = 17
2 + 2x + (3 + 3x) = 17

Reorder the terms:
2 + 3 + 2x + 3x = 17

Combine like terms: 2 + 3 = 5
5 + 2x + 3x = 17

Combine like terms: 2x + 3x = 5x
5 + 5x = 17

Solving
5 + 5x = 17

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 5x = 17 + -5

Combine like terms: 5 + -5 = 0
0 + 5x = 17 + -5
5x = 17 + -5

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

Divide each side by '5'.
x = 2.4

Simplifying
x = 2.4

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