0.3x+0.4=0.28x+1.16

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Solution for 0.3x+0.4=0.28x+1.16 equation: 


Simplifying
0.3x + 0.4 = 0.28x + 1.16

Reorder the terms:
0.4 + 0.3x = 0.28x + 1.16

Reorder the terms:
0.4 + 0.3x = 1.16 + 0.28x

Solving
0.4 + 0.3x = 1.16 + 0.28x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.28x' to each side of the equation.
0.4 + 0.3x + -0.28x = 1.16 + 0.28x + -0.28x

Combine like terms: 0.3x + -0.28x = 0.02x
0.4 + 0.02x = 1.16 + 0.28x + -0.28x

Combine like terms: 0.28x + -0.28x = 0.00
0.4 + 0.02x = 1.16 + 0.00
0.4 + 0.02x = 1.16

Add '-0.4' to each side of the equation.
0.4 + -0.4 + 0.02x = 1.16 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 0.02x = 1.16 + -0.4
0.02x = 1.16 + -0.4

Combine like terms: 1.16 + -0.4 = 0.76
0.02x = 0.76

Divide each side by '0.02'.
x = 38

Simplifying
x = 38

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