2(4x-3)+x=24-x

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Solution for 2(4x-3)+x=24-x equation:


Simplifying
2(4x + -3) + x = 24 + -1x

Reorder the terms:
2(-3 + 4x) + x = 24 + -1x
(-3 * 2 + 4x * 2) + x = 24 + -1x
(-6 + 8x) + x = 24 + -1x

Combine like terms: 8x + x = 9x
-6 + 9x = 24 + -1x

Solving
-6 + 9x = 24 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-6 + 9x + x = 24 + -1x + x

Combine like terms: 9x + x = 10x
-6 + 10x = 24 + -1x + x

Combine like terms: -1x + x = 0
-6 + 10x = 24 + 0
-6 + 10x = 24

Add '6' to each side of the equation.
-6 + 6 + 10x = 24 + 6

Combine like terms: -6 + 6 = 0
0 + 10x = 24 + 6
10x = 24 + 6

Combine like terms: 24 + 6 = 30
10x = 30

Divide each side by '10'.
x = 3

Simplifying
x = 3

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