2(2x+5)+3(x+4)=43

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Solution for 2(2x+5)+3(x+4)=43 equation: 


Simplifying
2(2x + 5) + 3(x + 4) = 43

Reorder the terms:
2(5 + 2x) + 3(x + 4) = 43
(5 * 2 + 2x * 2) + 3(x + 4) = 43
(10 + 4x) + 3(x + 4) = 43

Reorder the terms:
10 + 4x + 3(4 + x) = 43
10 + 4x + (4 * 3 + x * 3) = 43
10 + 4x + (12 + 3x) = 43

Reorder the terms:
10 + 12 + 4x + 3x = 43

Combine like terms: 10 + 12 = 22
22 + 4x + 3x = 43

Combine like terms: 4x + 3x = 7x
22 + 7x = 43

Solving
22 + 7x = 43

Solving for variable 'x'.

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

Add '-22' to each side of the equation.
22 + -22 + 7x = 43 + -22

Combine like terms: 22 + -22 = 0
0 + 7x = 43 + -22
7x = 43 + -22

Combine like terms: 43 + -22 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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