.30x+.80(.40)=.70(x+.40)

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Solution for .30x+.80(.40)=.70(x+.40) equation: 


Simplifying
0.30x + 0.80(0.40) = 0.70(x + 0.40)

Multiply 0.80 * 0.40
0.30x + 0.32 = 0.70(x + 0.40)

Reorder the terms:
0.32 + 0.30x = 0.70(x + 0.40)

Reorder the terms:
0.32 + 0.30x = 0.70(0.40 + x)
0.32 + 0.30x = (0.40 * 0.70 + x * 0.70)
0.32 + 0.30x = (0.28 + 0.70x)

Solving
0.32 + 0.30x = 0.28 + 0.70x

Solving for variable 'x'.

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

Add '-0.70x' to each side of the equation.
0.32 + 0.30x + -0.70x = 0.28 + 0.70x + -0.70x

Combine like terms: 0.30x + -0.70x = -0.4x
0.32 + -0.4x = 0.28 + 0.70x + -0.70x

Combine like terms: 0.70x + -0.70x = 0.00
0.32 + -0.4x = 0.28 + 0.00
0.32 + -0.4x = 0.28

Add '-0.32' to each side of the equation.
0.32 + -0.32 + -0.4x = 0.28 + -0.32

Combine like terms: 0.32 + -0.32 = 0.00
0.00 + -0.4x = 0.28 + -0.32
-0.4x = 0.28 + -0.32

Combine like terms: 0.28 + -0.32 = -0.04
-0.4x = -0.04

Divide each side by '-0.4'.
x = 0.1

Simplifying
x = 0.1

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