(4x+3)-(x+5)=14.5-8x

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Solution for (4x+3)-(x+5)=14.5-8x equation:


Simplifying
(4x + 3) + -1(x + 5) = 14.5 + -8x

Reorder the terms:
(3 + 4x) + -1(x + 5) = 14.5 + -8x

Remove parenthesis around (3 + 4x)
3 + 4x + -1(x + 5) = 14.5 + -8x

Reorder the terms:
3 + 4x + -1(5 + x) = 14.5 + -8x
3 + 4x + (5 * -1 + x * -1) = 14.5 + -8x
3 + 4x + (-5 + -1x) = 14.5 + -8x

Reorder the terms:
3 + -5 + 4x + -1x = 14.5 + -8x

Combine like terms: 3 + -5 = -2
-2 + 4x + -1x = 14.5 + -8x

Combine like terms: 4x + -1x = 3x
-2 + 3x = 14.5 + -8x

Solving
-2 + 3x = 14.5 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-2 + 3x + 8x = 14.5 + -8x + 8x

Combine like terms: 3x + 8x = 11x
-2 + 11x = 14.5 + -8x + 8x

Combine like terms: -8x + 8x = 0
-2 + 11x = 14.5 + 0
-2 + 11x = 14.5

Add '2' to each side of the equation.
-2 + 2 + 11x = 14.5 + 2

Combine like terms: -2 + 2 = 0
0 + 11x = 14.5 + 2
11x = 14.5 + 2

Combine like terms: 14.5 + 2 = 16.5
11x = 16.5

Divide each side by '11'.
x = 1.5

Simplifying
x = 1.5

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