4(3x-1)-2(x-2)=5(2-8x)

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Solution for 4(3x-1)-2(x-2)=5(2-8x) equation:


Simplifying
4(3x + -1) + -2(x + -2) = 5(2 + -8x)

Reorder the terms:
4(-1 + 3x) + -2(x + -2) = 5(2 + -8x)
(-1 * 4 + 3x * 4) + -2(x + -2) = 5(2 + -8x)
(-4 + 12x) + -2(x + -2) = 5(2 + -8x)

Reorder the terms:
-4 + 12x + -2(-2 + x) = 5(2 + -8x)
-4 + 12x + (-2 * -2 + x * -2) = 5(2 + -8x)
-4 + 12x + (4 + -2x) = 5(2 + -8x)

Reorder the terms:
-4 + 4 + 12x + -2x = 5(2 + -8x)

Combine like terms: -4 + 4 = 0
0 + 12x + -2x = 5(2 + -8x)
12x + -2x = 5(2 + -8x)

Combine like terms: 12x + -2x = 10x
10x = 5(2 + -8x)
10x = (2 * 5 + -8x * 5)
10x = (10 + -40x)

Solving
10x = 10 + -40x

Solving for variable 'x'.

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

Add '40x' to each side of the equation.
10x + 40x = 10 + -40x + 40x

Combine like terms: 10x + 40x = 50x
50x = 10 + -40x + 40x

Combine like terms: -40x + 40x = 0
50x = 10 + 0
50x = 10

Divide each side by '50'.
x = 0.2

Simplifying
x = 0.2

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