5(X+6)=-7(2X-3)+7X

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Solution for 5(X+6)=-7(2X-3)+7X equation: 


Simplifying
5(X + 6) = -7(2X + -3) + 7X

Reorder the terms:
5(6 + X) = -7(2X + -3) + 7X
(6 * 5 + X * 5) = -7(2X + -3) + 7X
(30 + 5X) = -7(2X + -3) + 7X

Reorder the terms:
30 + 5X = -7(-3 + 2X) + 7X
30 + 5X = (-3 * -7 + 2X * -7) + 7X
30 + 5X = (21 + -14X) + 7X

Combine like terms: -14X + 7X = -7X
30 + 5X = 21 + -7X

Solving
30 + 5X = 21 + -7X

Solving for variable 'X'.

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

Add '7X' to each side of the equation.
30 + 5X + 7X = 21 + -7X + 7X

Combine like terms: 5X + 7X = 12X
30 + 12X = 21 + -7X + 7X

Combine like terms: -7X + 7X = 0
30 + 12X = 21 + 0
30 + 12X = 21

Add '-30' to each side of the equation.
30 + -30 + 12X = 21 + -30

Combine like terms: 30 + -30 = 0
0 + 12X = 21 + -30
12X = 21 + -30

Combine like terms: 21 + -30 = -9
12X = -9

Divide each side by '12'.
X = -0.75

Simplifying
X = -0.75

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