(x+4)+(4x)+10(x-1)=24

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Solution for (x+4)+(4x)+10(x-1)=24 equation:


Simplifying
(x + 4) + (4x) + 10(x + -1) = 24

Reorder the terms:
(4 + x) + (4x) + 10(x + -1) = 24

Remove parenthesis around (4 + x)
4 + x + (4x) + 10(x + -1) = 24

Reorder the terms:
4 + x + (4x) + 10(-1 + x) = 24
4 + x + (4x) + (-1 * 10 + x * 10) = 24
4 + x + (4x) + (-10 + 10x) = 24

Reorder the terms:
4 + -10 + x + (4x) + 10x = 24

Combine like terms: 4 + -10 = -6
-6 + x + (4x) + 10x = 24

Combine like terms: x + (4x) = 5x
-6 + 5x + 10x = 24

Combine like terms: 5x + 10x = 15x
-6 + 15x = 24

Solving
-6 + 15x = 24

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 15x = 24 + 6

Combine like terms: -6 + 6 = 0
0 + 15x = 24 + 6
15x = 24 + 6

Combine like terms: 24 + 6 = 30
15x = 30

Divide each side by '15'.
x = 2

Simplifying
x = 2

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