0.5(0.7x+3)-0.6(1.6x-0.2)=x

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Solution for 0.5(0.7x+3)-0.6(1.6x-0.2)=x equation:


Simplifying
0.5(0.7x + 3) + -0.6(1.6x + -0.2) = x

Reorder the terms:
0.5(3 + 0.7x) + -0.6(1.6x + -0.2) = x
(3 * 0.5 + 0.7x * 0.5) + -0.6(1.6x + -0.2) = x
(1.5 + 0.35x) + -0.6(1.6x + -0.2) = x

Reorder the terms:
1.5 + 0.35x + -0.6(-0.2 + 1.6x) = x
1.5 + 0.35x + (-0.2 * -0.6 + 1.6x * -0.6) = x
1.5 + 0.35x + (0.12 + -0.96x) = x

Reorder the terms:
1.5 + 0.12 + 0.35x + -0.96x = x

Combine like terms: 1.5 + 0.12 = 1.62
1.62 + 0.35x + -0.96x = x

Combine like terms: 0.35x + -0.96x = -0.61x
1.62 + -0.61x = x

Solving
1.62 + -0.61x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
1.62 + -0.61x + -1x = x + -1x

Combine like terms: -0.61x + -1x = -1.61x
1.62 + -1.61x = x + -1x

Combine like terms: x + -1x = 0
1.62 + -1.61x = 0

Add '-1.62' to each side of the equation.
1.62 + -1.62 + -1.61x = 0 + -1.62

Combine like terms: 1.62 + -1.62 = 0.00
0.00 + -1.61x = 0 + -1.62
-1.61x = 0 + -1.62

Combine like terms: 0 + -1.62 = -1.62
-1.61x = -1.62

Divide each side by '-1.61'.
x = 1.00621118

Simplifying
x = 1.00621118

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