8(x+5)-9(2x-2)=16

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Solution for 8(x+5)-9(2x-2)=16 equation: 


Simplifying
8(x + 5) + -9(2x + -2) = 16

Reorder the terms:
8(5 + x) + -9(2x + -2) = 16
(5 * 8 + x * 8) + -9(2x + -2) = 16
(40 + 8x) + -9(2x + -2) = 16

Reorder the terms:
40 + 8x + -9(-2 + 2x) = 16
40 + 8x + (-2 * -9 + 2x * -9) = 16
40 + 8x + (18 + -18x) = 16

Reorder the terms:
40 + 18 + 8x + -18x = 16

Combine like terms: 40 + 18 = 58
58 + 8x + -18x = 16

Combine like terms: 8x + -18x = -10x
58 + -10x = 16

Solving
58 + -10x = 16

Solving for variable 'x'.

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

Add '-58' to each side of the equation.
58 + -58 + -10x = 16 + -58

Combine like terms: 58 + -58 = 0
0 + -10x = 16 + -58
-10x = 16 + -58

Combine like terms: 16 + -58 = -42
-10x = -42

Divide each side by '-10'.
x = 4.2

Simplifying
x = 4.2

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