.75(12-6x)=x+8-7x

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Solution for .75(12-6x)=x+8-7x equation:


Simplifying
0.75(12 + -6x) = x + 8 + -7x
(12 * 0.75 + -6x * 0.75) = x + 8 + -7x
(9 + -4.5x) = x + 8 + -7x

Reorder the terms:
9 + -4.5x = 8 + x + -7x

Combine like terms: x + -7x = -6x
9 + -4.5x = 8 + -6x

Solving
9 + -4.5x = 8 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
9 + -4.5x + 6x = 8 + -6x + 6x

Combine like terms: -4.5x + 6x = 1.5x
9 + 1.5x = 8 + -6x + 6x

Combine like terms: -6x + 6x = 0
9 + 1.5x = 8 + 0
9 + 1.5x = 8

Add '-9' to each side of the equation.
9 + -9 + 1.5x = 8 + -9

Combine like terms: 9 + -9 = 0
0 + 1.5x = 8 + -9
1.5x = 8 + -9

Combine like terms: 8 + -9 = -1
1.5x = -1

Divide each side by '1.5'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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