0.5x+0.2(40)=0.3(x+10)

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Solution for 0.5x+0.2(40)=0.3(x+10) equation:


Simplifying
0.5x + 0.2(40) = 0.3(x + 10)

Multiply 0.2 * 40
0.5x + 8 = 0.3(x + 10)

Reorder the terms:
8 + 0.5x = 0.3(x + 10)

Reorder the terms:
8 + 0.5x = 0.3(10 + x)
8 + 0.5x = (10 * 0.3 + x * 0.3)
8 + 0.5x = (3 + 0.3x)

Solving
8 + 0.5x = 3 + 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 + 0.5x + -0.3x = 3 + 0.3x + -0.3x

Combine like terms: 0.5x + -0.3x = 0.2x
8 + 0.2x = 3 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
8 + 0.2x = 3 + 0.0
8 + 0.2x = 3

Add '-8' to each side of the equation.
8 + -8 + 0.2x = 3 + -8

Combine like terms: 8 + -8 = 0
0 + 0.2x = 3 + -8
0.2x = 3 + -8

Combine like terms: 3 + -8 = -5
0.2x = -5

Divide each side by '0.2'.
x = -25

Simplifying
x = -25

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