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

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


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

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

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

Solving
-20 + -5x = -6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-20 + -5x + -4x = -6 + 4x + -4x

Combine like terms: -5x + -4x = -9x
-20 + -9x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-20 + -9x = -6 + 0
-20 + -9x = -6

Add '20' to each side of the equation.
-20 + 20 + -9x = -6 + 20

Combine like terms: -20 + 20 = 0
0 + -9x = -6 + 20
-9x = -6 + 20

Combine like terms: -6 + 20 = 14
-9x = 14

Divide each side by '-9'.
x = -1.555555556

Simplifying
x = -1.555555556

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