8-0.5(6x+11.25)=3(2x-4)-4

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Solution for 8-0.5(6x+11.25)=3(2x-4)-4 equation:


Simplifying
8 + -0.5(6x + 11.25) = 3(2x + -4) + -4

Reorder the terms:
8 + -0.5(11.25 + 6x) = 3(2x + -4) + -4
8 + (11.25 * -0.5 + 6x * -0.5) = 3(2x + -4) + -4
8 + (-5.625 + -3x) = 3(2x + -4) + -4

Combine like terms: 8 + -5.625 = 2.375
2.375 + -3x = 3(2x + -4) + -4

Reorder the terms:
2.375 + -3x = 3(-4 + 2x) + -4
2.375 + -3x = (-4 * 3 + 2x * 3) + -4
2.375 + -3x = (-12 + 6x) + -4

Reorder the terms:
2.375 + -3x = -12 + -4 + 6x

Combine like terms: -12 + -4 = -16
2.375 + -3x = -16 + 6x

Solving
2.375 + -3x = -16 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
2.375 + -3x + -6x = -16 + 6x + -6x

Combine like terms: -3x + -6x = -9x
2.375 + -9x = -16 + 6x + -6x

Combine like terms: 6x + -6x = 0
2.375 + -9x = -16 + 0
2.375 + -9x = -16

Add '-2.375' to each side of the equation.
2.375 + -2.375 + -9x = -16 + -2.375

Combine like terms: 2.375 + -2.375 = 0.000
0.000 + -9x = -16 + -2.375
-9x = -16 + -2.375

Combine like terms: -16 + -2.375 = -18.375
-9x = -18.375

Divide each side by '-9'.
x = 2.041666667

Simplifying
x = 2.041666667

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