7(2x+1)=2x-9x

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Solution for 7(2x+1)=2x-9x equation:


Simplifying
7(2x + 1) = 2x + -9x

Reorder the terms:
7(1 + 2x) = 2x + -9x
(1 * 7 + 2x * 7) = 2x + -9x
(7 + 14x) = 2x + -9x

Combine like terms: 2x + -9x = -7x
7 + 14x = -7x

Solving
7 + 14x = -7x

Solving for variable 'x'.

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

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

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

Combine like terms: -7x + 7x = 0
7 + 21x = 0

Add '-7' to each side of the equation.
7 + -7 + 21x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 21x = 0 + -7
21x = 0 + -7

Combine like terms: 0 + -7 = -7
21x = -7

Divide each side by '21'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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