2x+.5(8x+6)=2(4x+3)

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Solution for 2x+.5(8x+6)=2(4x+3) equation:


Simplifying
2x + 0.5(8x + 6) = 2(4x + 3)

Reorder the terms:
2x + 0.5(6 + 8x) = 2(4x + 3)
2x + (6 * 0.5 + 8x * 0.5) = 2(4x + 3)
2x + (3 + 4x) = 2(4x + 3)

Reorder the terms:
3 + 2x + 4x = 2(4x + 3)

Combine like terms: 2x + 4x = 6x
3 + 6x = 2(4x + 3)

Reorder the terms:
3 + 6x = 2(3 + 4x)
3 + 6x = (3 * 2 + 4x * 2)
3 + 6x = (6 + 8x)

Solving
3 + 6x = 6 + 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.
3 + 6x + -8x = 6 + 8x + -8x

Combine like terms: 6x + -8x = -2x
3 + -2x = 6 + 8x + -8x

Combine like terms: 8x + -8x = 0
3 + -2x = 6 + 0
3 + -2x = 6

Add '-3' to each side of the equation.
3 + -3 + -2x = 6 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 6 + -3
-2x = 6 + -3

Combine like terms: 6 + -3 = 3
-2x = 3

Divide each side by '-2'.
x = -1.5

Simplifying
x = -1.5

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