7*(x-2)=34-x

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Solution for 7*(x-2)=34-x equation: 


Simplifying
7(x + -2) = 34 + -1x

Reorder the terms:
7(-2 + x) = 34 + -1x
(-2 * 7 + x * 7) = 34 + -1x
(-14 + 7x) = 34 + -1x

Solving
-14 + 7x = 34 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-14 + 7x + x = 34 + -1x + x

Combine like terms: 7x + x = 8x
-14 + 8x = 34 + -1x + x

Combine like terms: -1x + x = 0
-14 + 8x = 34 + 0
-14 + 8x = 34

Add '14' to each side of the equation.
-14 + 14 + 8x = 34 + 14

Combine like terms: -14 + 14 = 0
0 + 8x = 34 + 14
8x = 34 + 14

Combine like terms: 34 + 14 = 48
8x = 48

Divide each side by '8'.
x = 6

Simplifying
x = 6

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