5-3(X+6)=7(X-1)

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Solution for 5-3(X+6)=7(X-1) equation:


Simplifying
5 + -3(X + 6) = 7(X + -1)

Reorder the terms:
5 + -3(6 + X) = 7(X + -1)
5 + (6 * -3 + X * -3) = 7(X + -1)
5 + (-18 + -3X) = 7(X + -1)

Combine like terms: 5 + -18 = -13
-13 + -3X = 7(X + -1)

Reorder the terms:
-13 + -3X = 7(-1 + X)
-13 + -3X = (-1 * 7 + X * 7)
-13 + -3X = (-7 + 7X)

Solving
-13 + -3X = -7 + 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.
-13 + -3X + -7X = -7 + 7X + -7X

Combine like terms: -3X + -7X = -10X
-13 + -10X = -7 + 7X + -7X

Combine like terms: 7X + -7X = 0
-13 + -10X = -7 + 0
-13 + -10X = -7

Add '13' to each side of the equation.
-13 + 13 + -10X = -7 + 13

Combine like terms: -13 + 13 = 0
0 + -10X = -7 + 13
-10X = -7 + 13

Combine like terms: -7 + 13 = 6
-10X = 6

Divide each side by '-10'.
X = -0.6

Simplifying
X = -0.6

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