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

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


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

Reorder the terms:
3(1 + 7x) = 2(3x + -5)
(1 * 3 + 7x * 3) = 2(3x + -5)
(3 + 21x) = 2(3x + -5)

Reorder the terms:
3 + 21x = 2(-5 + 3x)
3 + 21x = (-5 * 2 + 3x * 2)
3 + 21x = (-10 + 6x)

Solving
3 + 21x = -10 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
3 + 21x + -6x = -10 + 6x + -6x

Combine like terms: 21x + -6x = 15x
3 + 15x = -10 + 6x + -6x

Combine like terms: 6x + -6x = 0
3 + 15x = -10 + 0
3 + 15x = -10

Add '-3' to each side of the equation.
3 + -3 + 15x = -10 + -3

Combine like terms: 3 + -3 = 0
0 + 15x = -10 + -3
15x = -10 + -3

Combine like terms: -10 + -3 = -13
15x = -13

Divide each side by '15'.
x = -0.8666666667

Simplifying
x = -0.8666666667

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