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

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


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

Reorder the terms:
-3 + 6 + 6X = 7(X + 3) + -3

Combine like terms: -3 + 6 = 3
3 + 6X = 7(X + 3) + -3

Reorder the terms:
3 + 6X = 7(3 + X) + -3
3 + 6X = (3 * 7 + X * 7) + -3
3 + 6X = (21 + 7X) + -3

Reorder the terms:
3 + 6X = 21 + -3 + 7X

Combine like terms: 21 + -3 = 18
3 + 6X = 18 + 7X

Solving
3 + 6X = 18 + 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.
3 + 6X + -7X = 18 + 7X + -7X

Combine like terms: 6X + -7X = -1X
3 + -1X = 18 + 7X + -7X

Combine like terms: 7X + -7X = 0
3 + -1X = 18 + 0
3 + -1X = 18

Add '-3' to each side of the equation.
3 + -3 + -1X = 18 + -3

Combine like terms: 3 + -3 = 0
0 + -1X = 18 + -3
-1X = 18 + -3

Combine like terms: 18 + -3 = 15
-1X = 15

Divide each side by '-1'.
X = -15

Simplifying
X = -15

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