x+4+7x+2=46

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Solution for x+4+7x+2=46 equation:


Simplifying
x + 4 + 7x + 2 = 46

Reorder the terms:
4 + 2 + x + 7x = 46

Combine like terms: 4 + 2 = 6
6 + x + 7x = 46

Combine like terms: x + 7x = 8x
6 + 8x = 46

Solving
6 + 8x = 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 + 8x = 46 + -6

Combine like terms: 6 + -6 = 0
0 + 8x = 46 + -6
8x = 46 + -6

Combine like terms: 46 + -6 = 40
8x = 40

Divide each side by '8'.
x = 5

Simplifying
x = 5

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