-2(4x-5)=20-3x

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Solution for -2(4x-5)=20-3x equation:


Simplifying
-2(4x + -5) = 20 + -3x

Reorder the terms:
-2(-5 + 4x) = 20 + -3x
(-5 * -2 + 4x * -2) = 20 + -3x
(10 + -8x) = 20 + -3x

Solving
10 + -8x = 20 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
10 + -8x + 3x = 20 + -3x + 3x

Combine like terms: -8x + 3x = -5x
10 + -5x = 20 + -3x + 3x

Combine like terms: -3x + 3x = 0
10 + -5x = 20 + 0
10 + -5x = 20

Add '-10' to each side of the equation.
10 + -10 + -5x = 20 + -10

Combine like terms: 10 + -10 = 0
0 + -5x = 20 + -10
-5x = 20 + -10

Combine like terms: 20 + -10 = 10
-5x = 10

Divide each side by '-5'.
x = -2

Simplifying
x = -2

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