2(7x+1)=5(1-3x)

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Solution for 2(7x+1)=5(1-3x) equation:


Simplifying
2(7x + 1) = 5(1 + -3x)

Reorder the terms:
2(1 + 7x) = 5(1 + -3x)
(1 * 2 + 7x * 2) = 5(1 + -3x)
(2 + 14x) = 5(1 + -3x)
2 + 14x = (1 * 5 + -3x * 5)
2 + 14x = (5 + -15x)

Solving
2 + 14x = 5 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
2 + 14x + 15x = 5 + -15x + 15x

Combine like terms: 14x + 15x = 29x
2 + 29x = 5 + -15x + 15x

Combine like terms: -15x + 15x = 0
2 + 29x = 5 + 0
2 + 29x = 5

Add '-2' to each side of the equation.
2 + -2 + 29x = 5 + -2

Combine like terms: 2 + -2 = 0
0 + 29x = 5 + -2
29x = 5 + -2

Combine like terms: 5 + -2 = 3
29x = 3

Divide each side by '29'.
x = 0.1034482759

Simplifying
x = 0.1034482759

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