0.05(x)+0.10(10)=0.07(x+10)

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Solution for 0.05(x)+0.10(10)=0.07(x+10) equation: 


Simplifying
0.05(x) + 0.10(10) = 0.07(x + 10)

Multiply 0.10 * 10
0.05x + 1 = 0.07(x + 10)

Reorder the terms:
1 + 0.05x = 0.07(x + 10)

Reorder the terms:
1 + 0.05x = 0.07(10 + x)
1 + 0.05x = (10 * 0.07 + x * 0.07)
1 + 0.05x = (0.7 + 0.07x)

Solving
1 + 0.05x = 0.7 + 0.07x

Solving for variable 'x'.

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

Add '-0.07x' to each side of the equation.
1 + 0.05x + -0.07x = 0.7 + 0.07x + -0.07x

Combine like terms: 0.05x + -0.07x = -0.02x
1 + -0.02x = 0.7 + 0.07x + -0.07x

Combine like terms: 0.07x + -0.07x = 0.00
1 + -0.02x = 0.7 + 0.00
1 + -0.02x = 0.7

Add '-1' to each side of the equation.
1 + -1 + -0.02x = 0.7 + -1

Combine like terms: 1 + -1 = 0
0 + -0.02x = 0.7 + -1
-0.02x = 0.7 + -1

Combine like terms: 0.7 + -1 = -0.3
-0.02x = -0.3

Divide each side by '-0.02'.
x = 15

Simplifying
x = 15

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