0.5(x+2)=.45x-6.5

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Solution for 0.5(x+2)=.45x-6.5 equation:


Simplifying
0.5(x + 2) = 0.45x + -6.5

Reorder the terms:
0.5(2 + x) = 0.45x + -6.5
(2 * 0.5 + x * 0.5) = 0.45x + -6.5
(1 + 0.5x) = 0.45x + -6.5

Reorder the terms:
1 + 0.5x = -6.5 + 0.45x

Solving
1 + 0.5x = -6.5 + 0.45x

Solving for variable 'x'.

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

Add '-0.45x' to each side of the equation.
1 + 0.5x + -0.45x = -6.5 + 0.45x + -0.45x

Combine like terms: 0.5x + -0.45x = 0.05x
1 + 0.05x = -6.5 + 0.45x + -0.45x

Combine like terms: 0.45x + -0.45x = 0.00
1 + 0.05x = -6.5 + 0.00
1 + 0.05x = -6.5

Add '-1' to each side of the equation.
1 + -1 + 0.05x = -6.5 + -1

Combine like terms: 1 + -1 = 0
0 + 0.05x = -6.5 + -1
0.05x = -6.5 + -1

Combine like terms: -6.5 + -1 = -7.5
0.05x = -7.5

Divide each side by '0.05'.
x = -150

Simplifying
x = -150

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