0.5(x+2)+0.75(x+4)=x+5

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Solution for 0.5(x+2)+0.75(x+4)=x+5 equation: 


Simplifying
0.5(x + 2) + 0.75(x + 4) = x + 5

Reorder the terms:
0.5(2 + x) + 0.75(x + 4) = x + 5
(2 * 0.5 + x * 0.5) + 0.75(x + 4) = x + 5
(1 + 0.5x) + 0.75(x + 4) = x + 5

Reorder the terms:
1 + 0.5x + 0.75(4 + x) = x + 5
1 + 0.5x + (4 * 0.75 + x * 0.75) = x + 5
1 + 0.5x + (3 + 0.75x) = x + 5

Reorder the terms:
1 + 3 + 0.5x + 0.75x = x + 5

Combine like terms: 1 + 3 = 4
4 + 0.5x + 0.75x = x + 5

Combine like terms: 0.5x + 0.75x = 1.25x
4 + 1.25x = x + 5

Reorder the terms:
4 + 1.25x = 5 + x

Solving
4 + 1.25x = 5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
4 + 1.25x + -1x = 5 + x + -1x

Combine like terms: 1.25x + -1x = 0.25x
4 + 0.25x = 5 + x + -1x

Combine like terms: x + -1x = 0
4 + 0.25x = 5 + 0
4 + 0.25x = 5

Add '-4' to each side of the equation.
4 + -4 + 0.25x = 5 + -4

Combine like terms: 4 + -4 = 0
0 + 0.25x = 5 + -4
0.25x = 5 + -4

Combine like terms: 5 + -4 = 1
0.25x = 1

Divide each side by '0.25'.
x = 4

Simplifying
x = 4

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