8-(4x+-4.5)=5(x+6)-2

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Solution for 8-(4x+-4.5)=5(x+6)-2 equation:


Simplifying
8 + -1(4x + -4.5) = 5(x + 6) + -2

Reorder the terms:
8 + -1(-4.5 + 4x) = 5(x + 6) + -2
8 + (-4.5 * -1 + 4x * -1) = 5(x + 6) + -2
8 + (4.5 + -4x) = 5(x + 6) + -2

Combine like terms: 8 + 4.5 = 12.5
12.5 + -4x = 5(x + 6) + -2

Reorder the terms:
12.5 + -4x = 5(6 + x) + -2
12.5 + -4x = (6 * 5 + x * 5) + -2
12.5 + -4x = (30 + 5x) + -2

Reorder the terms:
12.5 + -4x = 30 + -2 + 5x

Combine like terms: 30 + -2 = 28
12.5 + -4x = 28 + 5x

Solving
12.5 + -4x = 28 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
12.5 + -4x + -5x = 28 + 5x + -5x

Combine like terms: -4x + -5x = -9x
12.5 + -9x = 28 + 5x + -5x

Combine like terms: 5x + -5x = 0
12.5 + -9x = 28 + 0
12.5 + -9x = 28

Add '-12.5' to each side of the equation.
12.5 + -12.5 + -9x = 28 + -12.5

Combine like terms: 12.5 + -12.5 = 0.0
0.0 + -9x = 28 + -12.5
-9x = 28 + -12.5

Combine like terms: 28 + -12.5 = 15.5
-9x = 15.5

Divide each side by '-9'.
x = -1.722222222

Simplifying
x = -1.722222222

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