0.5x+0.3(40)=0.4(x+30)

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Solution for 0.5x+0.3(40)=0.4(x+30) equation: 


Simplifying
0.5x + 0.3(40) = 0.4(x + 30)

Multiply 0.3 * 40
0.5x + 12 = 0.4(x + 30)

Reorder the terms:
12 + 0.5x = 0.4(x + 30)

Reorder the terms:
12 + 0.5x = 0.4(30 + x)
12 + 0.5x = (30 * 0.4 + x * 0.4)
12 + 0.5x = (12 + 0.4x)

Add '-12' to each side of the equation.
12 + -12 + 0.5x = 12 + -12 + 0.4x

Combine like terms: 12 + -12 = 0
0 + 0.5x = 12 + -12 + 0.4x
0.5x = 12 + -12 + 0.4x

Combine like terms: 12 + -12 = 0
0.5x = 0 + 0.4x
0.5x = 0.4x

Solving
0.5x = 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.
0.5x + -0.4x = 0.4x + -0.4x

Combine like terms: 0.5x + -0.4x = 0.1x
0.1x = 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
0.1x = 0.0

Divide each side by '0.1'.
x = 0

Simplifying
x = 0

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