0.8+0.18-0.4x=0.3(x+0.2)

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Solution for 0.8+0.18-0.4x=0.3(x+0.2) equation: 


Simplifying
0.8 + 0.18 + -0.4x = 0.3(x + 0.2)

Combine like terms: 0.8 + 0.18 = 0.98
0.98 + -0.4x = 0.3(x + 0.2)

Reorder the terms:
0.98 + -0.4x = 0.3(0.2 + x)
0.98 + -0.4x = (0.2 * 0.3 + x * 0.3)
0.98 + -0.4x = (0.06 + 0.3x)

Solving
0.98 + -0.4x = 0.06 + 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.
0.98 + -0.4x + -0.3x = 0.06 + 0.3x + -0.3x

Combine like terms: -0.4x + -0.3x = -0.7x
0.98 + -0.7x = 0.06 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
0.98 + -0.7x = 0.06 + 0.0
0.98 + -0.7x = 0.06

Add '-0.98' to each side of the equation.
0.98 + -0.98 + -0.7x = 0.06 + -0.98

Combine like terms: 0.98 + -0.98 = 0.00
0.00 + -0.7x = 0.06 + -0.98
-0.7x = 0.06 + -0.98

Combine like terms: 0.06 + -0.98 = -0.92
-0.7x = -0.92

Divide each side by '-0.7'.
x = 1.314285714

Simplifying
x = 1.314285714

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