8(2x-4)-9(x+2)=10-5x

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Solution for 8(2x-4)-9(x+2)=10-5x equation: 


Simplifying
8(2x + -4) + -9(x + 2) = 10 + -5x

Reorder the terms:
8(-4 + 2x) + -9(x + 2) = 10 + -5x
(-4 * 8 + 2x * 8) + -9(x + 2) = 10 + -5x
(-32 + 16x) + -9(x + 2) = 10 + -5x

Reorder the terms:
-32 + 16x + -9(2 + x) = 10 + -5x
-32 + 16x + (2 * -9 + x * -9) = 10 + -5x
-32 + 16x + (-18 + -9x) = 10 + -5x

Reorder the terms:
-32 + -18 + 16x + -9x = 10 + -5x

Combine like terms: -32 + -18 = -50
-50 + 16x + -9x = 10 + -5x

Combine like terms: 16x + -9x = 7x
-50 + 7x = 10 + -5x

Solving
-50 + 7x = 10 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-50 + 7x + 5x = 10 + -5x + 5x

Combine like terms: 7x + 5x = 12x
-50 + 12x = 10 + -5x + 5x

Combine like terms: -5x + 5x = 0
-50 + 12x = 10 + 0
-50 + 12x = 10

Add '50' to each side of the equation.
-50 + 50 + 12x = 10 + 50

Combine like terms: -50 + 50 = 0
0 + 12x = 10 + 50
12x = 10 + 50

Combine like terms: 10 + 50 = 60
12x = 60

Divide each side by '12'.
x = 5

Simplifying
x = 5

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