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

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


Simplifying
6(7 + -1x) = 8(6 + x)
(7 * 6 + -1x * 6) = 8(6 + x)
(42 + -6x) = 8(6 + x)
42 + -6x = (6 * 8 + x * 8)
42 + -6x = (48 + 8x)

Solving
42 + -6x = 48 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
42 + -6x + -8x = 48 + 8x + -8x

Combine like terms: -6x + -8x = -14x
42 + -14x = 48 + 8x + -8x

Combine like terms: 8x + -8x = 0
42 + -14x = 48 + 0
42 + -14x = 48

Add '-42' to each side of the equation.
42 + -42 + -14x = 48 + -42

Combine like terms: 42 + -42 = 0
0 + -14x = 48 + -42
-14x = 48 + -42

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

Divide each side by '-14'.
x = -0.4285714286

Simplifying
x = -0.4285714286

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