-7(X-5)+3(7X+5)=13(X+5)-9

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Solution for -7(X-5)+3(7X+5)=13(X+5)-9 equation:


Simplifying
-7(X + -5) + 3(7X + 5) = 13(X + 5) + -9

Reorder the terms:
-7(-5 + X) + 3(7X + 5) = 13(X + 5) + -9
(-5 * -7 + X * -7) + 3(7X + 5) = 13(X + 5) + -9
(35 + -7X) + 3(7X + 5) = 13(X + 5) + -9

Reorder the terms:
35 + -7X + 3(5 + 7X) = 13(X + 5) + -9
35 + -7X + (5 * 3 + 7X * 3) = 13(X + 5) + -9
35 + -7X + (15 + 21X) = 13(X + 5) + -9

Reorder the terms:
35 + 15 + -7X + 21X = 13(X + 5) + -9

Combine like terms: 35 + 15 = 50
50 + -7X + 21X = 13(X + 5) + -9

Combine like terms: -7X + 21X = 14X
50 + 14X = 13(X + 5) + -9

Reorder the terms:
50 + 14X = 13(5 + X) + -9
50 + 14X = (5 * 13 + X * 13) + -9
50 + 14X = (65 + 13X) + -9

Reorder the terms:
50 + 14X = 65 + -9 + 13X

Combine like terms: 65 + -9 = 56
50 + 14X = 56 + 13X

Solving
50 + 14X = 56 + 13X

Solving for variable 'X'.

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

Add '-13X' to each side of the equation.
50 + 14X + -13X = 56 + 13X + -13X

Combine like terms: 14X + -13X = 1X
50 + 1X = 56 + 13X + -13X

Combine like terms: 13X + -13X = 0
50 + 1X = 56 + 0
50 + 1X = 56

Add '-50' to each side of the equation.
50 + -50 + 1X = 56 + -50

Combine like terms: 50 + -50 = 0
0 + 1X = 56 + -50
1X = 56 + -50

Combine like terms: 56 + -50 = 6
1X = 6

Divide each side by '1'.
X = 6

Simplifying
X = 6

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