3.9(1.6x-0.6)=-0.4(4.2x-2.07)

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Solution for 3.9(1.6x-0.6)=-0.4(4.2x-2.07) equation:


Simplifying
3.9(1.6x + -0.6) = -0.4(4.2x + -2.07)

Reorder the terms:
3.9(-0.6 + 1.6x) = -0.4(4.2x + -2.07)
(-0.6 * 3.9 + 1.6x * 3.9) = -0.4(4.2x + -2.07)
(-2.34 + 6.24x) = -0.4(4.2x + -2.07)

Reorder the terms:
-2.34 + 6.24x = -0.4(-2.07 + 4.2x)
-2.34 + 6.24x = (-2.07 * -0.4 + 4.2x * -0.4)
-2.34 + 6.24x = (0.828 + -1.68x)

Solving
-2.34 + 6.24x = 0.828 + -1.68x

Solving for variable 'x'.

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

Add '1.68x' to each side of the equation.
-2.34 + 6.24x + 1.68x = 0.828 + -1.68x + 1.68x

Combine like terms: 6.24x + 1.68x = 7.92x
-2.34 + 7.92x = 0.828 + -1.68x + 1.68x

Combine like terms: -1.68x + 1.68x = 0.00
-2.34 + 7.92x = 0.828 + 0.00
-2.34 + 7.92x = 0.828

Add '2.34' to each side of the equation.
-2.34 + 2.34 + 7.92x = 0.828 + 2.34

Combine like terms: -2.34 + 2.34 = 0.00
0.00 + 7.92x = 0.828 + 2.34
7.92x = 0.828 + 2.34

Combine like terms: 0.828 + 2.34 = 3.168
7.92x = 3.168

Divide each side by '7.92'.
x = 0.4

Simplifying
x = 0.4

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