2.5+x=0.4(10+x)

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Solution for 2.5+x=0.4(10+x) equation: 


Simplifying
2.5 + x = 0.4(10 + x)
2.5 + x = (10 * 0.4 + x * 0.4)
2.5 + x = (4 + 0.4x)

Solving
2.5 + x = 4 + 0.4x

Solving for variable 'x'.

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

Add '-0.4x' to each side of the equation.
2.5 + x + -0.4x = 4 + 0.4x + -0.4x

Combine like terms: x + -0.4x = 0.6x
2.5 + 0.6x = 4 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
2.5 + 0.6x = 4 + 0.0
2.5 + 0.6x = 4

Add '-2.5' to each side of the equation.
2.5 + -2.5 + 0.6x = 4 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 0.6x = 4 + -2.5
0.6x = 4 + -2.5

Combine like terms: 4 + -2.5 = 1.5
0.6x = 1.5

Divide each side by '0.6'.
x = 2.5

Simplifying
x = 2.5

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