.4x+.3(10)=.2(x+30)

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Solution for .4x+.3(10)=.2(x+30) equation:


Simplifying
0.4x + 0.3(10) = 0.2(x + 30)

Multiply 0.3 * 10
0.4x + 3 = 0.2(x + 30)

Reorder the terms:
3 + 0.4x = 0.2(x + 30)

Reorder the terms:
3 + 0.4x = 0.2(30 + x)
3 + 0.4x = (30 * 0.2 + x * 0.2)
3 + 0.4x = (6 + 0.2x)

Solving
3 + 0.4x = 6 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
3 + 0.4x + -0.2x = 6 + 0.2x + -0.2x

Combine like terms: 0.4x + -0.2x = 0.2x
3 + 0.2x = 6 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
3 + 0.2x = 6 + 0.0
3 + 0.2x = 6

Add '-3' to each side of the equation.
3 + -3 + 0.2x = 6 + -3

Combine like terms: 3 + -3 = 0
0 + 0.2x = 6 + -3
0.2x = 6 + -3

Combine like terms: 6 + -3 = 3
0.2x = 3

Divide each side by '0.2'.
x = 15

Simplifying
x = 15

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