3(x+2)+4(x+5)=40

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Solution for 3(x+2)+4(x+5)=40 equation: 


Simplifying
3(x + 2) + 4(x + 5) = 40

Reorder the terms:
3(2 + x) + 4(x + 5) = 40
(2 * 3 + x * 3) + 4(x + 5) = 40
(6 + 3x) + 4(x + 5) = 40

Reorder the terms:
6 + 3x + 4(5 + x) = 40
6 + 3x + (5 * 4 + x * 4) = 40
6 + 3x + (20 + 4x) = 40

Reorder the terms:
6 + 20 + 3x + 4x = 40

Combine like terms: 6 + 20 = 26
26 + 3x + 4x = 40

Combine like terms: 3x + 4x = 7x
26 + 7x = 40

Solving
26 + 7x = 40

Solving for variable 'x'.

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

Add '-26' to each side of the equation.
26 + -26 + 7x = 40 + -26

Combine like terms: 26 + -26 = 0
0 + 7x = 40 + -26
7x = 40 + -26

Combine like terms: 40 + -26 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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