x+5(x+2)=46

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Solution for x+5(x+2)=46 equation:


Simplifying
x + 5(x + 2) = 46

Reorder the terms:
x + 5(2 + x) = 46
x + (2 * 5 + x * 5) = 46
x + (10 + 5x) = 46

Reorder the terms:
10 + x + 5x = 46

Combine like terms: x + 5x = 6x
10 + 6x = 46

Solving
10 + 6x = 46

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 6x = 46 + -10

Combine like terms: 10 + -10 = 0
0 + 6x = 46 + -10
6x = 46 + -10

Combine like terms: 46 + -10 = 36
6x = 36

Divide each side by '6'.
x = 6

Simplifying
x = 6

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