x+0.40(5)=0.90(x+5)

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Solution for x+0.40(5)=0.90(x+5) equation: 


Simplifying
x + 0.40(5) = 0.90(x + 5)

Multiply 0.40 * 5
x + 2 = 0.90(x + 5)

Reorder the terms:
2 + x = 0.90(x + 5)

Reorder the terms:
2 + x = 0.90(5 + x)
2 + x = (5 * 0.90 + x * 0.90)
2 + x = (4.5 + 0.90x)

Solving
2 + x = 4.5 + 0.90x

Solving for variable 'x'.

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

Add '-0.90x' to each side of the equation.
2 + x + -0.90x = 4.5 + 0.90x + -0.90x

Combine like terms: x + -0.90x = 0.1x
2 + 0.1x = 4.5 + 0.90x + -0.90x

Combine like terms: 0.90x + -0.90x = 0.00
2 + 0.1x = 4.5 + 0.00
2 + 0.1x = 4.5

Add '-2' to each side of the equation.
2 + -2 + 0.1x = 4.5 + -2

Combine like terms: 2 + -2 = 0
0 + 0.1x = 4.5 + -2
0.1x = 4.5 + -2

Combine like terms: 4.5 + -2 = 2.5
0.1x = 2.5

Divide each side by '0.1'.
x = 25

Simplifying
x = 25

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