8.00x-6.5(x-5)=5.0(4-x)+3

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Solution for 8.00x-6.5(x-5)=5.0(4-x)+3 equation:


Simplifying
8.00x + -6.5(x + -5) = 5.0(4 + -1x) + 3

Reorder the terms:
8.00x + -6.5(-5 + x) = 5.0(4 + -1x) + 3
8.00x + (-5 * -6.5 + x * -6.5) = 5.0(4 + -1x) + 3
8.00x + (32.5 + -6.5x) = 5.0(4 + -1x) + 3

Reorder the terms:
32.5 + 8.00x + -6.5x = 5.0(4 + -1x) + 3

Combine like terms: 8.00x + -6.5x = 1.5x
32.5 + 1.5x = 5.0(4 + -1x) + 3
32.5 + 1.5x = (4 * 5.0 + -1x * 5.0) + 3
32.5 + 1.5x = (20 + -5x) + 3

Reorder the terms:
32.5 + 1.5x = 20 + 3 + -5x

Combine like terms: 20 + 3 = 23
32.5 + 1.5x = 23 + -5x

Solving
32.5 + 1.5x = 23 + -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.
32.5 + 1.5x + 5x = 23 + -5x + 5x

Combine like terms: 1.5x + 5x = 6.5x
32.5 + 6.5x = 23 + -5x + 5x

Combine like terms: -5x + 5x = 0
32.5 + 6.5x = 23 + 0
32.5 + 6.5x = 23

Add '-32.5' to each side of the equation.
32.5 + -32.5 + 6.5x = 23 + -32.5

Combine like terms: 32.5 + -32.5 = 0.0
0.0 + 6.5x = 23 + -32.5
6.5x = 23 + -32.5

Combine like terms: 23 + -32.5 = -9.5
6.5x = -9.5

Divide each side by '6.5'.
x = -1.461538462

Simplifying
x = -1.461538462

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