7x+9=.5(8x-12)

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Solution for 7x+9=.5(8x-12) equation:


Simplifying
7x + 9 = 0.5(8x + -12)

Reorder the terms:
9 + 7x = 0.5(8x + -12)

Reorder the terms:
9 + 7x = 0.5(-12 + 8x)
9 + 7x = (-12 * 0.5 + 8x * 0.5)
9 + 7x = (-6 + 4x)

Solving
9 + 7x = -6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
9 + 7x + -4x = -6 + 4x + -4x

Combine like terms: 7x + -4x = 3x
9 + 3x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + 3x = -6 + 0
9 + 3x = -6

Add '-9' to each side of the equation.
9 + -9 + 3x = -6 + -9

Combine like terms: 9 + -9 = 0
0 + 3x = -6 + -9
3x = -6 + -9

Combine like terms: -6 + -9 = -15
3x = -15

Divide each side by '3'.
x = -5

Simplifying
x = -5

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