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

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


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

Multiply 0.2 * 50
0.7x + 10 = 0.4(x + 40)

Reorder the terms:
10 + 0.7x = 0.4(x + 40)

Reorder the terms:
10 + 0.7x = 0.4(40 + x)
10 + 0.7x = (40 * 0.4 + x * 0.4)
10 + 0.7x = (16 + 0.4x)

Solving
10 + 0.7x = 16 + 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.
10 + 0.7x + -0.4x = 16 + 0.4x + -0.4x

Combine like terms: 0.7x + -0.4x = 0.3x
10 + 0.3x = 16 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
10 + 0.3x = 16 + 0.0
10 + 0.3x = 16

Add '-10' to each side of the equation.
10 + -10 + 0.3x = 16 + -10

Combine like terms: 10 + -10 = 0
0 + 0.3x = 16 + -10
0.3x = 16 + -10

Combine like terms: 16 + -10 = 6
0.3x = 6

Divide each side by '0.3'.
x = 20

Simplifying
x = 20

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