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

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


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

Reorder the terms:
-2(-4 + 5x) + 3 = 4(-2x + -6)
(-4 * -2 + 5x * -2) + 3 = 4(-2x + -6)
(8 + -10x) + 3 = 4(-2x + -6)

Reorder the terms:
8 + 3 + -10x = 4(-2x + -6)

Combine like terms: 8 + 3 = 11
11 + -10x = 4(-2x + -6)

Reorder the terms:
11 + -10x = 4(-6 + -2x)
11 + -10x = (-6 * 4 + -2x * 4)
11 + -10x = (-24 + -8x)

Solving
11 + -10x = -24 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
11 + -10x + 8x = -24 + -8x + 8x

Combine like terms: -10x + 8x = -2x
11 + -2x = -24 + -8x + 8x

Combine like terms: -8x + 8x = 0
11 + -2x = -24 + 0
11 + -2x = -24

Add '-11' to each side of the equation.
11 + -11 + -2x = -24 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = -24 + -11
-2x = -24 + -11

Combine like terms: -24 + -11 = -35
-2x = -35

Divide each side by '-2'.
x = 17.5

Simplifying
x = 17.5

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