6(x+8)-6(8x-7)=14

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Solution for 6(x+8)-6(8x-7)=14 equation: 


Simplifying
6(x + 8) + -6(8x + -7) = 14

Reorder the terms:
6(8 + x) + -6(8x + -7) = 14
(8 * 6 + x * 6) + -6(8x + -7) = 14
(48 + 6x) + -6(8x + -7) = 14

Reorder the terms:
48 + 6x + -6(-7 + 8x) = 14
48 + 6x + (-7 * -6 + 8x * -6) = 14
48 + 6x + (42 + -48x) = 14

Reorder the terms:
48 + 42 + 6x + -48x = 14

Combine like terms: 48 + 42 = 90
90 + 6x + -48x = 14

Combine like terms: 6x + -48x = -42x
90 + -42x = 14

Solving
90 + -42x = 14

Solving for variable 'x'.

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

Add '-90' to each side of the equation.
90 + -90 + -42x = 14 + -90

Combine like terms: 90 + -90 = 0
0 + -42x = 14 + -90
-42x = 14 + -90

Combine like terms: 14 + -90 = -76
-42x = -76

Divide each side by '-42'.
x = 1.80952381

Simplifying
x = 1.80952381

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