2(x+3)+3(x+4)=23

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Solution for 2(x+3)+3(x+4)=23 equation:


Simplifying
2(x + 3) + 3(x + 4) = 23

Reorder the terms:
2(3 + x) + 3(x + 4) = 23
(3 * 2 + x * 2) + 3(x + 4) = 23
(6 + 2x) + 3(x + 4) = 23

Reorder the terms:
6 + 2x + 3(4 + x) = 23
6 + 2x + (4 * 3 + x * 3) = 23
6 + 2x + (12 + 3x) = 23

Reorder the terms:
6 + 12 + 2x + 3x = 23

Combine like terms: 6 + 12 = 18
18 + 2x + 3x = 23

Combine like terms: 2x + 3x = 5x
18 + 5x = 23

Solving
18 + 5x = 23

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + 5x = 23 + -18

Combine like terms: 18 + -18 = 0
0 + 5x = 23 + -18
5x = 23 + -18

Combine like terms: 23 + -18 = 5
5x = 5

Divide each side by '5'.
x = 1

Simplifying
x = 1

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