12(2x-1)-(x-8)=19

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Solution for 12(2x-1)-(x-8)=19 equation:


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

Reorder the terms:
12(-1 + 2x) + -1(x + -8) = 19
(-1 * 12 + 2x * 12) + -1(x + -8) = 19
(-12 + 24x) + -1(x + -8) = 19

Reorder the terms:
-12 + 24x + -1(-8 + x) = 19
-12 + 24x + (-8 * -1 + x * -1) = 19
-12 + 24x + (8 + -1x) = 19

Reorder the terms:
-12 + 8 + 24x + -1x = 19

Combine like terms: -12 + 8 = -4
-4 + 24x + -1x = 19

Combine like terms: 24x + -1x = 23x
-4 + 23x = 19

Solving
-4 + 23x = 19

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 23x = 19 + 4

Combine like terms: -4 + 4 = 0
0 + 23x = 19 + 4
23x = 19 + 4

Combine like terms: 19 + 4 = 23
23x = 23

Divide each side by '23'.
x = 1

Simplifying
x = 1

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