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

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


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

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

Reorder the terms:
3 + 6x = 7(-3 + X)
3 + 6x = (-3 * 7 + X * 7)
3 + 6x = (-21 + 7X)

Solving
3 + 6x = -21 + 7X

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 6x = -21 + -3 + 7X

Combine like terms: 3 + -3 = 0
0 + 6x = -21 + -3 + 7X
6x = -21 + -3 + 7X

Combine like terms: -21 + -3 = -24
6x = -24 + 7X

Divide each side by '6'.
x = -4 + 1.166666667X

Simplifying
x = -4 + 1.166666667X

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