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

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


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

Reorder the terms:
6(-7 + x) + -8 = -6 + (-4x + 6) + -8x
(-7 * 6 + x * 6) + -8 = -6 + (-4x + 6) + -8x
(-42 + 6x) + -8 = -6 + (-4x + 6) + -8x

Reorder the terms:
-42 + -8 + 6x = -6 + (-4x + 6) + -8x

Combine like terms: -42 + -8 = -50
-50 + 6x = -6 + (-4x + 6) + -8x

Reorder the terms:
-50 + 6x = -6 + (6 + -4x) + -8x

Remove parenthesis around (6 + -4x)
-50 + 6x = -6 + 6 + -4x + -8x

Combine like terms: -6 + 6 = 0
-50 + 6x = 0 + -4x + -8x
-50 + 6x = -4x + -8x

Combine like terms: -4x + -8x = -12x
-50 + 6x = -12x

Solving
-50 + 6x = -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-50 + 6x + 12x = -12x + 12x

Combine like terms: 6x + 12x = 18x
-50 + 18x = -12x + 12x

Combine like terms: -12x + 12x = 0
-50 + 18x = 0

Add '50' to each side of the equation.
-50 + 50 + 18x = 0 + 50

Combine like terms: -50 + 50 = 0
0 + 18x = 0 + 50
18x = 0 + 50

Combine like terms: 0 + 50 = 50
18x = 50

Divide each side by '18'.
x = 2.777777778

Simplifying
x = 2.777777778

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