3x+5=.50(7x+8)

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Solution for 3x+5=.50(7x+8) equation:


Simplifying
3x + 5 = 0.50(7x + 8)

Reorder the terms:
5 + 3x = 0.50(7x + 8)

Reorder the terms:
5 + 3x = 0.50(8 + 7x)
5 + 3x = (8 * 0.50 + 7x * 0.50)
5 + 3x = (4 + 3.5x)

Solving
5 + 3x = 4 + 3.5x

Solving for variable 'x'.

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

Add '-3.5x' to each side of the equation.
5 + 3x + -3.5x = 4 + 3.5x + -3.5x

Combine like terms: 3x + -3.5x = -0.5x
5 + -0.5x = 4 + 3.5x + -3.5x

Combine like terms: 3.5x + -3.5x = 0.0
5 + -0.5x = 4 + 0.0
5 + -0.5x = 4

Add '-5' to each side of the equation.
5 + -5 + -0.5x = 4 + -5

Combine like terms: 5 + -5 = 0
0 + -0.5x = 4 + -5
-0.5x = 4 + -5

Combine like terms: 4 + -5 = -1
-0.5x = -1

Divide each side by '-0.5'.
x = 2

Simplifying
x = 2

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