.5(8x+3+4x)=4x+7.5

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Solution for .5(8x+3+4x)=4x+7.5 equation:


Simplifying
0.5(8x + 3 + 4x) = 4x + 7.5

Reorder the terms:
0.5(3 + 8x + 4x) = 4x + 7.5

Combine like terms: 8x + 4x = 12x
0.5(3 + 12x) = 4x + 7.5
(3 * 0.5 + 12x * 0.5) = 4x + 7.5
(1.5 + 6x) = 4x + 7.5

Reorder the terms:
1.5 + 6x = 7.5 + 4x

Solving
1.5 + 6x = 7.5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
1.5 + 6x + -4x = 7.5 + 4x + -4x

Combine like terms: 6x + -4x = 2x
1.5 + 2x = 7.5 + 4x + -4x

Combine like terms: 4x + -4x = 0
1.5 + 2x = 7.5 + 0
1.5 + 2x = 7.5

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 2x = 7.5 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 2x = 7.5 + -1.5
2x = 7.5 + -1.5

Combine like terms: 7.5 + -1.5 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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