2(3X+5)-2(7X-3)=X+7

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


Simplifying
2(3X + 5) + -2(7X + -3) = X + 7

Reorder the terms:
2(5 + 3X) + -2(7X + -3) = X + 7
(5 * 2 + 3X * 2) + -2(7X + -3) = X + 7
(10 + 6X) + -2(7X + -3) = X + 7

Reorder the terms:
10 + 6X + -2(-3 + 7X) = X + 7
10 + 6X + (-3 * -2 + 7X * -2) = X + 7
10 + 6X + (6 + -14X) = X + 7

Reorder the terms:
10 + 6 + 6X + -14X = X + 7

Combine like terms: 10 + 6 = 16
16 + 6X + -14X = X + 7

Combine like terms: 6X + -14X = -8X
16 + -8X = X + 7

Reorder the terms:
16 + -8X = 7 + X

Solving
16 + -8X = 7 + X

Solving for variable 'X'.

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

Add '-1X' to each side of the equation.
16 + -8X + -1X = 7 + X + -1X

Combine like terms: -8X + -1X = -9X
16 + -9X = 7 + X + -1X

Combine like terms: X + -1X = 0
16 + -9X = 7 + 0
16 + -9X = 7

Add '-16' to each side of the equation.
16 + -16 + -9X = 7 + -16

Combine like terms: 16 + -16 = 0
0 + -9X = 7 + -16
-9X = 7 + -16

Combine like terms: 7 + -16 = -9
-9X = -9

Divide each side by '-9'.
X = 1

Simplifying
X = 1

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