7(x-2)=x+10

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Solution for 7(x-2)=x+10 equation:


Simplifying
7(x + -2) = x + 10

Reorder the terms:
7(-2 + x) = x + 10
(-2 * 7 + x * 7) = x + 10
(-14 + 7x) = x + 10

Reorder the terms:
-14 + 7x = 10 + x

Solving
-14 + 7x = 10 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-14 + 7x + -1x = 10 + x + -1x

Combine like terms: 7x + -1x = 6x
-14 + 6x = 10 + x + -1x

Combine like terms: x + -1x = 0
-14 + 6x = 10 + 0
-14 + 6x = 10

Add '14' to each side of the equation.
-14 + 14 + 6x = 10 + 14

Combine like terms: -14 + 14 = 0
0 + 6x = 10 + 14
6x = 10 + 14

Combine like terms: 10 + 14 = 24
6x = 24

Divide each side by '6'.
x = 4

Simplifying
x = 4

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