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

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


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

Multiply 0.5 * 30
0.4x + 15 = 0.3(x + 40)

Reorder the terms:
15 + 0.4x = 0.3(x + 40)

Reorder the terms:
15 + 0.4x = 0.3(40 + x)
15 + 0.4x = (40 * 0.3 + x * 0.3)
15 + 0.4x = (12 + 0.3x)

Solving
15 + 0.4x = 12 + 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.
15 + 0.4x + -0.3x = 12 + 0.3x + -0.3x

Combine like terms: 0.4x + -0.3x = 0.1x
15 + 0.1x = 12 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
15 + 0.1x = 12 + 0.0
15 + 0.1x = 12

Add '-15' to each side of the equation.
15 + -15 + 0.1x = 12 + -15

Combine like terms: 15 + -15 = 0
0 + 0.1x = 12 + -15
0.1x = 12 + -15

Combine like terms: 12 + -15 = -3
0.1x = -3

Divide each side by '0.1'.
x = -30

Simplifying
x = -30

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