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

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


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

Reorder the terms:
3 + -5(1 + -2x) = 2(x + -4)
3 + (1 * -5 + -2x * -5) = 2(x + -4)
3 + (-5 + 10x) = 2(x + -4)

Combine like terms: 3 + -5 = -2
-2 + 10x = 2(x + -4)

Reorder the terms:
-2 + 10x = 2(-4 + x)
-2 + 10x = (-4 * 2 + x * 2)
-2 + 10x = (-8 + 2x)

Solving
-2 + 10x = -8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-2 + 10x + -2x = -8 + 2x + -2x

Combine like terms: 10x + -2x = 8x
-2 + 8x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2 + 8x = -8 + 0
-2 + 8x = -8

Add '2' to each side of the equation.
-2 + 2 + 8x = -8 + 2

Combine like terms: -2 + 2 = 0
0 + 8x = -8 + 2
8x = -8 + 2

Combine like terms: -8 + 2 = -6
8x = -6

Divide each side by '8'.
x = -0.75

Simplifying
x = -0.75

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