0.1(30)=0.5(70+x)-0.9x

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Solution for 0.1(30)=0.5(70+x)-0.9x equation:


Simplifying
0.1(30) = 0.5(70 + x) + -0.9x

Multiply 0.1 * 30
3 = 0.5(70 + x) + -0.9x
3 = (70 * 0.5 + x * 0.5) + -0.9x
3 = (35 + 0.5x) + -0.9x

Combine like terms: 0.5x + -0.9x = -0.4x
3 = 35 + -0.4x

Solving
3 = 35 + -0.4x

Solving for variable 'x'.

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

Add '0.4x' to each side of the equation.
3 + 0.4x = 35 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
3 + 0.4x = 35 + 0.0
3 + 0.4x = 35

Add '-3' to each side of the equation.
3 + -3 + 0.4x = 35 + -3

Combine like terms: 3 + -3 = 0
0 + 0.4x = 35 + -3
0.4x = 35 + -3

Combine like terms: 35 + -3 = 32
0.4x = 32

Divide each side by '0.4'.
x = 80

Simplifying
x = 80

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