7(7X+1)=5(13X-21)

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Solution for 7(7X+1)=5(13X-21) equation:


Simplifying
7(7X + 1) = 5(13X + -21)

Reorder the terms:
7(1 + 7X) = 5(13X + -21)
(1 * 7 + 7X * 7) = 5(13X + -21)
(7 + 49X) = 5(13X + -21)

Reorder the terms:
7 + 49X = 5(-21 + 13X)
7 + 49X = (-21 * 5 + 13X * 5)
7 + 49X = (-105 + 65X)

Solving
7 + 49X = -105 + 65X

Solving for variable 'X'.

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

Add '-65X' to each side of the equation.
7 + 49X + -65X = -105 + 65X + -65X

Combine like terms: 49X + -65X = -16X
7 + -16X = -105 + 65X + -65X

Combine like terms: 65X + -65X = 0
7 + -16X = -105 + 0
7 + -16X = -105

Add '-7' to each side of the equation.
7 + -7 + -16X = -105 + -7

Combine like terms: 7 + -7 = 0
0 + -16X = -105 + -7
-16X = -105 + -7

Combine like terms: -105 + -7 = -112
-16X = -112

Divide each side by '-16'.
X = 7

Simplifying
X = 7

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