0.2(40)=0.4(50+x)-0.7x

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Solution for 0.2(40)=0.4(50+x)-0.7x equation:


Simplifying
0.2(40) = 0.4(50 + x) + -0.7x

Multiply 0.2 * 40
8 = 0.4(50 + x) + -0.7x
8 = (50 * 0.4 + x * 0.4) + -0.7x
8 = (20 + 0.4x) + -0.7x

Combine like terms: 0.4x + -0.7x = -0.3x
8 = 20 + -0.3x

Solving
8 = 20 + -0.3x

Solving for variable 'x'.

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

Add '0.3x' to each side of the equation.
8 + 0.3x = 20 + -0.3x + 0.3x

Combine like terms: -0.3x + 0.3x = 0.0
8 + 0.3x = 20 + 0.0
8 + 0.3x = 20

Add '-8' to each side of the equation.
8 + -8 + 0.3x = 20 + -8

Combine like terms: 8 + -8 = 0
0 + 0.3x = 20 + -8
0.3x = 20 + -8

Combine like terms: 20 + -8 = 12
0.3x = 12

Divide each side by '0.3'.
x = 40

Simplifying
x = 40

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