6(5X+1)=7(2X+7)

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


Simplifying
6(5X + 1) = 7(2X + 7)

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

Reorder the terms:
6 + 30X = 7(7 + 2X)
6 + 30X = (7 * 7 + 2X * 7)
6 + 30X = (49 + 14X)

Solving
6 + 30X = 49 + 14X

Solving for variable 'X'.

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

Add '-14X' to each side of the equation.
6 + 30X + -14X = 49 + 14X + -14X

Combine like terms: 30X + -14X = 16X
6 + 16X = 49 + 14X + -14X

Combine like terms: 14X + -14X = 0
6 + 16X = 49 + 0
6 + 16X = 49

Add '-6' to each side of the equation.
6 + -6 + 16X = 49 + -6

Combine like terms: 6 + -6 = 0
0 + 16X = 49 + -6
16X = 49 + -6

Combine like terms: 49 + -6 = 43
16X = 43

Divide each side by '16'.
X = 2.6875

Simplifying
X = 2.6875

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