0.2(5x-4)-0.1(6-3x)=0.4

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Solution for 0.2(5x-4)-0.1(6-3x)=0.4 equation:


Simplifying
0.2(5x + -4) + -0.1(6 + -3x) = 0.4

Reorder the terms:
0.2(-4 + 5x) + -0.1(6 + -3x) = 0.4
(-4 * 0.2 + 5x * 0.2) + -0.1(6 + -3x) = 0.4
(-0.8 + 1x) + -0.1(6 + -3x) = 0.4
-0.8 + 1x + (6 * -0.1 + -3x * -0.1) = 0.4
-0.8 + 1x + (-0.6 + 0.3x) = 0.4

Reorder the terms:
-0.8 + -0.6 + 1x + 0.3x = 0.4

Combine like terms: -0.8 + -0.6 = -1.4
-1.4 + 1x + 0.3x = 0.4

Combine like terms: 1x + 0.3x = 1.3x
-1.4 + 1.3x = 0.4

Solving
-1.4 + 1.3x = 0.4

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 + 1.3x = 0.4 + 1.4

Combine like terms: -1.4 + 1.4 = 0.0
0.0 + 1.3x = 0.4 + 1.4
1.3x = 0.4 + 1.4

Combine like terms: 0.4 + 1.4 = 1.8
1.3x = 1.8

Divide each side by '1.3'.
x = 1.384615385

Simplifying
x = 1.384615385

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