4(x+5)-9(2x-8)=12

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Solution for 4(x+5)-9(2x-8)=12 equation: 


Simplifying
4(x + 5) + -9(2x + -8) = 12

Reorder the terms:
4(5 + x) + -9(2x + -8) = 12
(5 * 4 + x * 4) + -9(2x + -8) = 12
(20 + 4x) + -9(2x + -8) = 12

Reorder the terms:
20 + 4x + -9(-8 + 2x) = 12
20 + 4x + (-8 * -9 + 2x * -9) = 12
20 + 4x + (72 + -18x) = 12

Reorder the terms:
20 + 72 + 4x + -18x = 12

Combine like terms: 20 + 72 = 92
92 + 4x + -18x = 12

Combine like terms: 4x + -18x = -14x
92 + -14x = 12

Solving
92 + -14x = 12

Solving for variable 'x'.

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

Add '-92' to each side of the equation.
92 + -92 + -14x = 12 + -92

Combine like terms: 92 + -92 = 0
0 + -14x = 12 + -92
-14x = 12 + -92

Combine like terms: 12 + -92 = -80
-14x = -80

Divide each side by '-14'.
x = 5.714285714

Simplifying
x = 5.714285714

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