0.5(x+4)+3=2x(2+.75)

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Solution for 0.5(x+4)+3=2x(2+.75) equation:


Simplifying
0.5(x + 4) + 3 = 2x(2 + 0.75)

Reorder the terms:
0.5(4 + x) + 3 = 2x(2 + 0.75)
(4 * 0.5 + x * 0.5) + 3 = 2x(2 + 0.75)
(2 + 0.5x) + 3 = 2x(2 + 0.75)

Reorder the terms:
2 + 3 + 0.5x = 2x(2 + 0.75)

Combine like terms: 2 + 3 = 5
5 + 0.5x = 2x(2 + 0.75)

Combine like terms: 2 + 0.75 = 2.75
5 + 0.5x = 2x(2.75)

Reorder the terms for easier multiplication:
5 + 0.5x = 2 * 2.75x

Multiply 2 * 2.75
5 + 0.5x = 5.5x

Solving
5 + 0.5x = 5.5x

Solving for variable 'x'.

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

Add '-5.5x' to each side of the equation.
5 + 0.5x + -5.5x = 5.5x + -5.5x

Combine like terms: 0.5x + -5.5x = -5x
5 + -5x = 5.5x + -5.5x

Combine like terms: 5.5x + -5.5x = 0.0
5 + -5x = 0.0

Add '-5' to each side of the equation.
5 + -5 + -5x = 0.0 + -5

Combine like terms: 5 + -5 = 0
0 + -5x = 0.0 + -5
-5x = 0.0 + -5

Combine like terms: 0.0 + -5 = -5
-5x = -5

Divide each side by '-5'.
x = 1

Simplifying
x = 1

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