-6-4(5x-2)=-3(8-4x)+2

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Solution for -6-4(5x-2)=-3(8-4x)+2 equation:


Simplifying
-6 + -4(5x + -2) = -3(8 + -4x) + 2

Reorder the terms:
-6 + -4(-2 + 5x) = -3(8 + -4x) + 2
-6 + (-2 * -4 + 5x * -4) = -3(8 + -4x) + 2
-6 + (8 + -20x) = -3(8 + -4x) + 2

Combine like terms: -6 + 8 = 2
2 + -20x = -3(8 + -4x) + 2
2 + -20x = (8 * -3 + -4x * -3) + 2
2 + -20x = (-24 + 12x) + 2

Reorder the terms:
2 + -20x = -24 + 2 + 12x

Combine like terms: -24 + 2 = -22
2 + -20x = -22 + 12x

Solving
2 + -20x = -22 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
2 + -20x + -12x = -22 + 12x + -12x

Combine like terms: -20x + -12x = -32x
2 + -32x = -22 + 12x + -12x

Combine like terms: 12x + -12x = 0
2 + -32x = -22 + 0
2 + -32x = -22

Add '-2' to each side of the equation.
2 + -2 + -32x = -22 + -2

Combine like terms: 2 + -2 = 0
0 + -32x = -22 + -2
-32x = -22 + -2

Combine like terms: -22 + -2 = -24
-32x = -24

Divide each side by '-32'.
x = 0.75

Simplifying
x = 0.75

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