7(x-2)+2(x+6)=21-2x

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Solution for 7(x-2)+2(x+6)=21-2x equation:


Simplifying
7(x + -2) + 2(x + 6) = 21 + -2x

Reorder the terms:
7(-2 + x) + 2(x + 6) = 21 + -2x
(-2 * 7 + x * 7) + 2(x + 6) = 21 + -2x
(-14 + 7x) + 2(x + 6) = 21 + -2x

Reorder the terms:
-14 + 7x + 2(6 + x) = 21 + -2x
-14 + 7x + (6 * 2 + x * 2) = 21 + -2x
-14 + 7x + (12 + 2x) = 21 + -2x

Reorder the terms:
-14 + 12 + 7x + 2x = 21 + -2x

Combine like terms: -14 + 12 = -2
-2 + 7x + 2x = 21 + -2x

Combine like terms: 7x + 2x = 9x
-2 + 9x = 21 + -2x

Solving
-2 + 9x = 21 + -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 + 9x + 2x = 21 + -2x + 2x

Combine like terms: 9x + 2x = 11x
-2 + 11x = 21 + -2x + 2x

Combine like terms: -2x + 2x = 0
-2 + 11x = 21 + 0
-2 + 11x = 21

Add '2' to each side of the equation.
-2 + 2 + 11x = 21 + 2

Combine like terms: -2 + 2 = 0
0 + 11x = 21 + 2
11x = 21 + 2

Combine like terms: 21 + 2 = 23
11x = 23

Divide each side by '11'.
x = 2.090909091

Simplifying
x = 2.090909091

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