8-3(x-2)-2(4-3)=4.5

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Solution for 8-3(x-2)-2(4-3)=4.5 equation: 


Simplifying
8 + -3(x + -2) + -2(4 + -3) = 4.5

Reorder the terms:
8 + -3(-2 + x) + -2(4 + -3) = 4.5
8 + (-2 * -3 + x * -3) + -2(4 + -3) = 4.5
8 + (6 + -3x) + -2(4 + -3) = 4.5

Combine like terms: 4 + -3 = 1
8 + 6 + -3x + -2(1) = 4.5

Multiply -2 * 1
8 + 6 + -3x + -2 = 4.5

Reorder the terms:
8 + 6 + -2 + -3x = 4.5

Combine like terms: 8 + 6 = 14
14 + -2 + -3x = 4.5

Combine like terms: 14 + -2 = 12
12 + -3x = 4.5

Solving
12 + -3x = 4.5

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + -3x = 4.5 + -12

Combine like terms: 12 + -12 = 0
0 + -3x = 4.5 + -12
-3x = 4.5 + -12

Combine like terms: 4.5 + -12 = -7.5
-3x = -7.5

Divide each side by '-3'.
x = 2.5

Simplifying
x = 2.5

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