0.5(6x+8)-(x+4)=3(-x+5)

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Solution for 0.5(6x+8)-(x+4)=3(-x+5) equation:


Simplifying
0.5(6x + 8) + -1(x + 4) = 3(-1x + 5)

Reorder the terms:
0.5(8 + 6x) + -1(x + 4) = 3(-1x + 5)
(8 * 0.5 + 6x * 0.5) + -1(x + 4) = 3(-1x + 5)
(4 + 3x) + -1(x + 4) = 3(-1x + 5)

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

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

Combine like terms: 4 + -4 = 0
0 + 3x + -1x = 3(-1x + 5)
3x + -1x = 3(-1x + 5)

Combine like terms: 3x + -1x = 2x
2x = 3(-1x + 5)

Reorder the terms:
2x = 3(5 + -1x)
2x = (5 * 3 + -1x * 3)
2x = (15 + -3x)

Solving
2x = 15 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
2x + 3x = 15 + -3x + 3x

Combine like terms: 2x + 3x = 5x
5x = 15 + -3x + 3x

Combine like terms: -3x + 3x = 0
5x = 15 + 0
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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