0.08(40)+0.3x=0.2(40+x)

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Solution for 0.08(40)+0.3x=0.2(40+x) equation:


Simplifying
0.08(40) + 0.3x = 0.2(40 + x)

Multiply 0.08 * 40
3.2 + 0.3x = 0.2(40 + x)
3.2 + 0.3x = (40 * 0.2 + x * 0.2)
3.2 + 0.3x = (8 + 0.2x)

Solving
3.2 + 0.3x = 8 + 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.
3.2 + 0.3x + -0.2x = 8 + 0.2x + -0.2x

Combine like terms: 0.3x + -0.2x = 0.1x
3.2 + 0.1x = 8 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
3.2 + 0.1x = 8 + 0.0
3.2 + 0.1x = 8

Add '-3.2' to each side of the equation.
3.2 + -3.2 + 0.1x = 8 + -3.2

Combine like terms: 3.2 + -3.2 = 0.0
0.0 + 0.1x = 8 + -3.2
0.1x = 8 + -3.2

Combine like terms: 8 + -3.2 = 4.8
0.1x = 4.8

Divide each side by '0.1'.
x = 48

Simplifying
x = 48

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