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

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


Simplifying
6(7x) = 8(6 + -1x)

Remove parenthesis around (7x)
6 * 7x = 8(6 + -1x)

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

Solving
42x = 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.
42x + 8x = 48 + -8x + 8x

Combine like terms: 42x + 8x = 50x
50x = 48 + -8x + 8x

Combine like terms: -8x + 8x = 0
50x = 48 + 0
50x = 48

Divide each side by '50'.
x = 0.96

Simplifying
x = 0.96

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