.55x+1.2(1.2+.2x)=x-7.5(x+.6)

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Solution for .55x+1.2(1.2+.2x)=x-7.5(x+.6) equation:


Simplifying
0.55x + 1.2(1.2 + 0.2x) = x + -7.5(x + 0.6)
0.55x + (1.2 * 1.2 + 0.2x * 1.2) = x + -7.5(x + 0.6)
0.55x + (1.44 + 0.24x) = x + -7.5(x + 0.6)

Reorder the terms:
1.44 + 0.55x + 0.24x = x + -7.5(x + 0.6)

Combine like terms: 0.55x + 0.24x = 0.79x
1.44 + 0.79x = x + -7.5(x + 0.6)

Reorder the terms:
1.44 + 0.79x = x + -7.5(0.6 + x)
1.44 + 0.79x = x + (0.6 * -7.5 + x * -7.5)
1.44 + 0.79x = x + (-4.5 + -7.5x)

Reorder the terms:
1.44 + 0.79x = -4.5 + x + -7.5x

Combine like terms: x + -7.5x = -6.5x
1.44 + 0.79x = -4.5 + -6.5x

Solving
1.44 + 0.79x = -4.5 + -6.5x

Solving for variable 'x'.

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

Add '6.5x' to each side of the equation.
1.44 + 0.79x + 6.5x = -4.5 + -6.5x + 6.5x

Combine like terms: 0.79x + 6.5x = 7.29x
1.44 + 7.29x = -4.5 + -6.5x + 6.5x

Combine like terms: -6.5x + 6.5x = 0.0
1.44 + 7.29x = -4.5 + 0.0
1.44 + 7.29x = -4.5

Add '-1.44' to each side of the equation.
1.44 + -1.44 + 7.29x = -4.5 + -1.44

Combine like terms: 1.44 + -1.44 = 0.00
0.00 + 7.29x = -4.5 + -1.44
7.29x = -4.5 + -1.44

Combine like terms: -4.5 + -1.44 = -5.94
7.29x = -5.94

Divide each side by '7.29'.
x = -0.8148148148

Simplifying
x = -0.8148148148

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