7x+2=2(46-x)

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Solution for 7x+2=2(46-x) equation: 


Simplifying
7x + 2 = 2(46 + -1x)

Reorder the terms:
2 + 7x = 2(46 + -1x)
2 + 7x = (46 * 2 + -1x * 2)
2 + 7x = (92 + -2x)

Solving
2 + 7x = 92 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
2 + 7x + 2x = 92 + -2x + 2x

Combine like terms: 7x + 2x = 9x
2 + 9x = 92 + -2x + 2x

Combine like terms: -2x + 2x = 0
2 + 9x = 92 + 0
2 + 9x = 92

Add '-2' to each side of the equation.
2 + -2 + 9x = 92 + -2

Combine like terms: 2 + -2 = 0
0 + 9x = 92 + -2
9x = 92 + -2

Combine like terms: 92 + -2 = 90
9x = 90

Divide each side by '9'.
x = 10

Simplifying
x = 10

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