5(x-8)-2(x-1)=24

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Solution for 5(x-8)-2(x-1)=24 equation:


Simplifying
5(x + -8) + -2(x + -1) = 24

Reorder the terms:
5(-8 + x) + -2(x + -1) = 24
(-8 * 5 + x * 5) + -2(x + -1) = 24
(-40 + 5x) + -2(x + -1) = 24

Reorder the terms:
-40 + 5x + -2(-1 + x) = 24
-40 + 5x + (-1 * -2 + x * -2) = 24
-40 + 5x + (2 + -2x) = 24

Reorder the terms:
-40 + 2 + 5x + -2x = 24

Combine like terms: -40 + 2 = -38
-38 + 5x + -2x = 24

Combine like terms: 5x + -2x = 3x
-38 + 3x = 24

Solving
-38 + 3x = 24

Solving for variable 'x'.

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

Add '38' to each side of the equation.
-38 + 38 + 3x = 24 + 38

Combine like terms: -38 + 38 = 0
0 + 3x = 24 + 38
3x = 24 + 38

Combine like terms: 24 + 38 = 62
3x = 62

Divide each side by '3'.
x = 20.66666667

Simplifying
x = 20.66666667

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