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

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


Simplifying
8 + -1(3x + 2) = 2(4 + -3x) + -4.5

Reorder the terms:
8 + -1(2 + 3x) = 2(4 + -3x) + -4.5
8 + (2 * -1 + 3x * -1) = 2(4 + -3x) + -4.5
8 + (-2 + -3x) = 2(4 + -3x) + -4.5

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

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

Combine like terms: 8 + -4.5 = 3.5
6 + -3x = 3.5 + -6x

Solving
6 + -3x = 3.5 + -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.
6 + -3x + 6x = 3.5 + -6x + 6x

Combine like terms: -3x + 6x = 3x
6 + 3x = 3.5 + -6x + 6x

Combine like terms: -6x + 6x = 0
6 + 3x = 3.5 + 0
6 + 3x = 3.5

Add '-6' to each side of the equation.
6 + -6 + 3x = 3.5 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = 3.5 + -6
3x = 3.5 + -6

Combine like terms: 3.5 + -6 = -2.5
3x = -2.5

Divide each side by '3'.
x = -0.8333333333

Simplifying
x = -0.8333333333

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