5(2x-10)-(x-8)+12=19

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Solution for 5(2x-10)-(x-8)+12=19 equation: 


Simplifying
5(2x + -10) + -1(x + -8) + 12 = 19

Reorder the terms:
5(-10 + 2x) + -1(x + -8) + 12 = 19
(-10 * 5 + 2x * 5) + -1(x + -8) + 12 = 19
(-50 + 10x) + -1(x + -8) + 12 = 19

Reorder the terms:
-50 + 10x + -1(-8 + x) + 12 = 19
-50 + 10x + (-8 * -1 + x * -1) + 12 = 19
-50 + 10x + (8 + -1x) + 12 = 19

Reorder the terms:
-50 + 8 + 12 + 10x + -1x = 19

Combine like terms: -50 + 8 = -42
-42 + 12 + 10x + -1x = 19

Combine like terms: -42 + 12 = -30
-30 + 10x + -1x = 19

Combine like terms: 10x + -1x = 9x
-30 + 9x = 19

Solving
-30 + 9x = 19

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + 9x = 19 + 30

Combine like terms: -30 + 30 = 0
0 + 9x = 19 + 30
9x = 19 + 30

Combine like terms: 19 + 30 = 49
9x = 49

Divide each side by '9'.
x = 5.444444444

Simplifying
x = 5.444444444

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