2(x+4)+3(x+6)=46

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Solution for 2(x+4)+3(x+6)=46 equation:


Simplifying
2(x + 4) + 3(x + 6) = 46

Reorder the terms:
2(4 + x) + 3(x + 6) = 46
(4 * 2 + x * 2) + 3(x + 6) = 46
(8 + 2x) + 3(x + 6) = 46

Reorder the terms:
8 + 2x + 3(6 + x) = 46
8 + 2x + (6 * 3 + x * 3) = 46
8 + 2x + (18 + 3x) = 46

Reorder the terms:
8 + 18 + 2x + 3x = 46

Combine like terms: 8 + 18 = 26
26 + 2x + 3x = 46

Combine like terms: 2x + 3x = 5x
26 + 5x = 46

Solving
26 + 5x = 46

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 + 5x = 46 + -26

Combine like terms: 26 + -26 = 0
0 + 5x = 46 + -26
5x = 46 + -26

Combine like terms: 46 + -26 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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