0.7x+0.2(10)=0.5(x+20)

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Solution for 0.7x+0.2(10)=0.5(x+20) equation: 


Simplifying
0.7x + 0.2(10) = 0.5(x + 20)

Multiply 0.2 * 10
0.7x + 2 = 0.5(x + 20)

Reorder the terms:
2 + 0.7x = 0.5(x + 20)

Reorder the terms:
2 + 0.7x = 0.5(20 + x)
2 + 0.7x = (20 * 0.5 + x * 0.5)
2 + 0.7x = (10 + 0.5x)

Solving
2 + 0.7x = 10 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
2 + 0.7x + -0.5x = 10 + 0.5x + -0.5x

Combine like terms: 0.7x + -0.5x = 0.2x
2 + 0.2x = 10 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
2 + 0.2x = 10 + 0.0
2 + 0.2x = 10

Add '-2' to each side of the equation.
2 + -2 + 0.2x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 0.2x = 10 + -2
0.2x = 10 + -2

Combine like terms: 10 + -2 = 8
0.2x = 8

Divide each side by '0.2'.
x = 40

Simplifying
x = 40

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