x+(0.25)(10)=(0.10)(x+10)

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Solution for x+(0.25)(10)=(0.10)(x+10) equation: 


Simplifying
x + (0.25)(10) = (0.10)(x + 10)

Multiply 0.25 * 10
x + 2.5 = (0.10)(x + 10)

Reorder the terms:
2.5 + x = (0.10)(x + 10)

Reorder the terms:
2.5 + x = 0.10(10 + x)
2.5 + x = (10 * 0.10 + x * 0.10)
2.5 + x = (1 + 0.10x)

Solving
2.5 + x = 1 + 0.10x

Solving for variable 'x'.

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

Add '-0.10x' to each side of the equation.
2.5 + x + -0.10x = 1 + 0.10x + -0.10x

Combine like terms: x + -0.10x = 0.9x
2.5 + 0.9x = 1 + 0.10x + -0.10x

Combine like terms: 0.10x + -0.10x = 0.00
2.5 + 0.9x = 1 + 0.00
2.5 + 0.9x = 1

Add '-2.5' to each side of the equation.
2.5 + -2.5 + 0.9x = 1 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 0.9x = 1 + -2.5
0.9x = 1 + -2.5

Combine like terms: 1 + -2.5 = -1.5
0.9x = -1.5

Divide each side by '0.9'.
x = -1.666666667

Simplifying
x = -1.666666667

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