-9(4x-8)-6(-2x-7)=78

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Solution for -9(4x-8)-6(-2x-7)=78 equation:


Simplifying
-9(4x + -8) + -6(-2x + -7) = 78

Reorder the terms:
-9(-8 + 4x) + -6(-2x + -7) = 78
(-8 * -9 + 4x * -9) + -6(-2x + -7) = 78
(72 + -36x) + -6(-2x + -7) = 78

Reorder the terms:
72 + -36x + -6(-7 + -2x) = 78
72 + -36x + (-7 * -6 + -2x * -6) = 78
72 + -36x + (42 + 12x) = 78

Reorder the terms:
72 + 42 + -36x + 12x = 78

Combine like terms: 72 + 42 = 114
114 + -36x + 12x = 78

Combine like terms: -36x + 12x = -24x
114 + -24x = 78

Solving
114 + -24x = 78

Solving for variable 'x'.

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

Add '-114' to each side of the equation.
114 + -114 + -24x = 78 + -114

Combine like terms: 114 + -114 = 0
0 + -24x = 78 + -114
-24x = 78 + -114

Combine like terms: 78 + -114 = -36
-24x = -36

Divide each side by '-24'.
x = 1.5

Simplifying
x = 1.5

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