0.7x+0.3(10)=0.5(x+10)

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Solution for 0.7x+0.3(10)=0.5(x+10) equation:


Simplifying
0.7x + 0.3(10) = 0.5(x + 10)

Multiply 0.3 * 10
0.7x + 3 = 0.5(x + 10)

Reorder the terms:
3 + 0.7x = 0.5(x + 10)

Reorder the terms:
3 + 0.7x = 0.5(10 + x)
3 + 0.7x = (10 * 0.5 + x * 0.5)
3 + 0.7x = (5 + 0.5x)

Solving
3 + 0.7x = 5 + 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.
3 + 0.7x + -0.5x = 5 + 0.5x + -0.5x

Combine like terms: 0.7x + -0.5x = 0.2x
3 + 0.2x = 5 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
3 + 0.2x = 5 + 0.0
3 + 0.2x = 5

Add '-3' to each side of the equation.
3 + -3 + 0.2x = 5 + -3

Combine like terms: 3 + -3 = 0
0 + 0.2x = 5 + -3
0.2x = 5 + -3

Combine like terms: 5 + -3 = 2
0.2x = 2

Divide each side by '0.2'.
x = 10

Simplifying
x = 10

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