0.55x+1.2(1.2+0.2x)=x-0.75(x+0.6)

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Solution for 0.55x+1.2(1.2+0.2x)=x-0.75(x+0.6) equation:


Simplifying
0.55x + 1.2(1.2 + 0.2x) = x + -0.75(x + 0.6)
0.55x + (1.2 * 1.2 + 0.2x * 1.2) = x + -0.75(x + 0.6)
0.55x + (1.44 + 0.24x) = x + -0.75(x + 0.6)

Reorder the terms:
1.44 + 0.55x + 0.24x = x + -0.75(x + 0.6)

Combine like terms: 0.55x + 0.24x = 0.79x
1.44 + 0.79x = x + -0.75(x + 0.6)

Reorder the terms:
1.44 + 0.79x = x + -0.75(0.6 + x)
1.44 + 0.79x = x + (0.6 * -0.75 + x * -0.75)
1.44 + 0.79x = x + (-0.45 + -0.75x)

Reorder the terms:
1.44 + 0.79x = -0.45 + x + -0.75x

Combine like terms: x + -0.75x = 0.25x
1.44 + 0.79x = -0.45 + 0.25x

Solving
1.44 + 0.79x = -0.45 + 0.25x

Solving for variable 'x'.

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

Add '-0.25x' to each side of the equation.
1.44 + 0.79x + -0.25x = -0.45 + 0.25x + -0.25x

Combine like terms: 0.79x + -0.25x = 0.54x
1.44 + 0.54x = -0.45 + 0.25x + -0.25x

Combine like terms: 0.25x + -0.25x = 0.00
1.44 + 0.54x = -0.45 + 0.00
1.44 + 0.54x = -0.45

Add '-1.44' to each side of the equation.
1.44 + -1.44 + 0.54x = -0.45 + -1.44

Combine like terms: 1.44 + -1.44 = 0.00
0.00 + 0.54x = -0.45 + -1.44
0.54x = -0.45 + -1.44

Combine like terms: -0.45 + -1.44 = -1.89
0.54x = -1.89

Divide each side by '0.54'.
x = -3.5

Simplifying
x = -3.5

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