7(2x+1)=3x-6x

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Solution for 7(2x+1)=3x-6x equation:


Simplifying
7(2x + 1) = 3x + -6x

Reorder the terms:
7(1 + 2x) = 3x + -6x
(1 * 7 + 2x * 7) = 3x + -6x
(7 + 14x) = 3x + -6x

Combine like terms: 3x + -6x = -3x
7 + 14x = -3x

Solving
7 + 14x = -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
7 + 14x + 3x = -3x + 3x

Combine like terms: 14x + 3x = 17x
7 + 17x = -3x + 3x

Combine like terms: -3x + 3x = 0
7 + 17x = 0

Add '-7' to each side of the equation.
7 + -7 + 17x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 17x = 0 + -7
17x = 0 + -7

Combine like terms: 0 + -7 = -7
17x = -7

Divide each side by '17'.
x = -0.4117647059

Simplifying
x = -0.4117647059

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