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

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


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

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

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

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

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

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

Combine like terms: 10x + x = 11x
-6 + 11x + 4x = 24

Combine like terms: 11x + 4x = 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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