3(x+4)+2(x+3)=43

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Solution for 3(x+4)+2(x+3)=43 equation:


Simplifying
3(x + 4) + 2(x + 3) = 43

Reorder the terms:
3(4 + x) + 2(x + 3) = 43
(4 * 3 + x * 3) + 2(x + 3) = 43
(12 + 3x) + 2(x + 3) = 43

Reorder the terms:
12 + 3x + 2(3 + x) = 43
12 + 3x + (3 * 2 + x * 2) = 43
12 + 3x + (6 + 2x) = 43

Reorder the terms:
12 + 6 + 3x + 2x = 43

Combine like terms: 12 + 6 = 18
18 + 3x + 2x = 43

Combine like terms: 3x + 2x = 5x
18 + 5x = 43

Solving
18 + 5x = 43

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 = 43 + -18

Combine like terms: 18 + -18 = 0
0 + 5x = 43 + -18
5x = 43 + -18

Combine like terms: 43 + -18 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5

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