4x+2(13-x)=46

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Solution for 4x+2(13-x)=46 equation:


Simplifying
4x + 2(13 + -1x) = 46
4x + (13 * 2 + -1x * 2) = 46
4x + (26 + -2x) = 46

Reorder the terms:
26 + 4x + -2x = 46

Combine like terms: 4x + -2x = 2x
26 + 2x = 46

Solving
26 + 2x = 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 + 2x = 46 + -26

Combine like terms: 26 + -26 = 0
0 + 2x = 46 + -26
2x = 46 + -26

Combine like terms: 46 + -26 = 20
2x = 20

Divide each side by '2'.
x = 10

Simplifying
x = 10

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