0.5(10x+24)-x+9=6+2x

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Solution for 0.5(10x+24)-x+9=6+2x equation:


Simplifying
0.5(10x + 24) + -1x + 9 = 6 + 2x

Reorder the terms:
0.5(24 + 10x) + -1x + 9 = 6 + 2x
(24 * 0.5 + 10x * 0.5) + -1x + 9 = 6 + 2x
(12 + 5x) + -1x + 9 = 6 + 2x

Reorder the terms:
12 + 9 + 5x + -1x = 6 + 2x

Combine like terms: 12 + 9 = 21
21 + 5x + -1x = 6 + 2x

Combine like terms: 5x + -1x = 4x
21 + 4x = 6 + 2x

Solving
21 + 4x = 6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
21 + 4x + -2x = 6 + 2x + -2x

Combine like terms: 4x + -2x = 2x
21 + 2x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
21 + 2x = 6 + 0
21 + 2x = 6

Add '-21' to each side of the equation.
21 + -21 + 2x = 6 + -21

Combine like terms: 21 + -21 = 0
0 + 2x = 6 + -21
2x = 6 + -21

Combine like terms: 6 + -21 = -15
2x = -15

Divide each side by '2'.
x = -7.5

Simplifying
x = -7.5

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