.4(x-1)-.6(2x-3)=-4.2

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Solution for .4(x-1)-.6(2x-3)=-4.2 equation: 


Simplifying
0.4(x + -1) + -0.6(2x + -3) = -4.2

Reorder the terms:
0.4(-1 + x) + -0.6(2x + -3) = -4.2
(-1 * 0.4 + x * 0.4) + -0.6(2x + -3) = -4.2
(-0.4 + 0.4x) + -0.6(2x + -3) = -4.2

Reorder the terms:
-0.4 + 0.4x + -0.6(-3 + 2x) = -4.2
-0.4 + 0.4x + (-3 * -0.6 + 2x * -0.6) = -4.2
-0.4 + 0.4x + (1.8 + -1.2x) = -4.2

Reorder the terms:
-0.4 + 1.8 + 0.4x + -1.2x = -4.2

Combine like terms: -0.4 + 1.8 = 1.4
1.4 + 0.4x + -1.2x = -4.2

Combine like terms: 0.4x + -1.2x = -0.8x
1.4 + -0.8x = -4.2

Solving
1.4 + -0.8x = -4.2

Solving for variable 'x'.

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

Add '-1.4' to each side of the equation.
1.4 + -1.4 + -0.8x = -4.2 + -1.4

Combine like terms: 1.4 + -1.4 = 0.0
0.0 + -0.8x = -4.2 + -1.4
-0.8x = -4.2 + -1.4

Combine like terms: -4.2 + -1.4 = -5.6
-0.8x = -5.6

Divide each side by '-0.8'.
x = 7

Simplifying
x = 7

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