x+3(x+2)=46

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


Simplifying
x + 3(x + 2) = 46

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

Reorder the terms:
6 + x + 3x = 46

Combine like terms: x + 3x = 4x
6 + 4x = 46

Solving
6 + 4x = 46

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 4x = 46 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 46 + -6
4x = 46 + -6

Combine like terms: 46 + -6 = 40
4x = 40

Divide each side by '4'.
x = 10

Simplifying
x = 10

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