0.75(2x+2)+3.5=8+0.5x

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Solution for 0.75(2x+2)+3.5=8+0.5x equation:


Simplifying
0.75(2x + 2) + 3.5 = 8 + 0.5x

Reorder the terms:
0.75(2 + 2x) + 3.5 = 8 + 0.5x
(2 * 0.75 + 2x * 0.75) + 3.5 = 8 + 0.5x
(1.5 + 1.5x) + 3.5 = 8 + 0.5x

Reorder the terms:
1.5 + 3.5 + 1.5x = 8 + 0.5x

Combine like terms: 1.5 + 3.5 = 5
5 + 1.5x = 8 + 0.5x

Solving
5 + 1.5x = 8 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
5 + 1.5x + -0.5x = 8 + 0.5x + -0.5x

Combine like terms: 1.5x + -0.5x = 1x
5 + 1x = 8 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
5 + 1x = 8 + 0.0
5 + 1x = 8

Add '-5' to each side of the equation.
5 + -5 + 1x = 8 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = 8 + -5
1x = 8 + -5

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

Divide each side by '1'.
x = 3

Simplifying
x = 3

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