6(5x+1)=2x-7x

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Solution for 6(5x+1)=2x-7x equation:


Simplifying
6(5x + 1) = 2x + -7x

Reorder the terms:
6(1 + 5x) = 2x + -7x
(1 * 6 + 5x * 6) = 2x + -7x
(6 + 30x) = 2x + -7x

Combine like terms: 2x + -7x = -5x
6 + 30x = -5x

Solving
6 + 30x = -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
6 + 30x + 5x = -5x + 5x

Combine like terms: 30x + 5x = 35x
6 + 35x = -5x + 5x

Combine like terms: -5x + 5x = 0
6 + 35x = 0

Add '-6' to each side of the equation.
6 + -6 + 35x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 35x = 0 + -6
35x = 0 + -6

Combine like terms: 0 + -6 = -6
35x = -6

Divide each side by '35'.
x = -0.1714285714

Simplifying
x = -0.1714285714

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