X-6+6x=-7(7+8)-2(x+4)

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Solution for X-6+6x=-7(7+8)-2(x+4) equation:


Simplifying
X + -6 + 6x = -7(7 + 8) + -2(x + 4)

Reorder the terms:
-6 + X + 6x = -7(7 + 8) + -2(x + 4)

Combine like terms: 7 + 8 = 15
-6 + X + 6x = -7(15) + -2(x + 4)

Multiply -7 * 15
-6 + X + 6x = -105 + -2(x + 4)

Reorder the terms:
-6 + X + 6x = -105 + -2(4 + x)
-6 + X + 6x = -105 + (4 * -2 + x * -2)
-6 + X + 6x = -105 + (-8 + -2x)

Combine like terms: -105 + -8 = -113
-6 + X + 6x = -113 + -2x

Solving
-6 + X + 6x = -113 + -2x

Solving for variable 'X'.

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

Add '6' to each side of the equation.
-6 + X + 6 + 6x = -113 + 6 + -2x

Reorder the terms:
-6 + 6 + X + 6x = -113 + 6 + -2x

Combine like terms: -6 + 6 = 0
0 + X + 6x = -113 + 6 + -2x
X + 6x = -113 + 6 + -2x

Combine like terms: -113 + 6 = -107
X + 6x = -107 + -2x

Add '-6x' to each side of the equation.
X + 6x + -6x = -107 + -2x + -6x

Combine like terms: 6x + -6x = 0
X + 0 = -107 + -2x + -6x
X = -107 + -2x + -6x

Combine like terms: -2x + -6x = -8x
X = -107 + -8x

Simplifying
X = -107 + -8x

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