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

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


Simplifying
-2(4x + -5) = 3x + -1(6 + -1x)

Reorder the terms:
-2(-5 + 4x) = 3x + -1(6 + -1x)
(-5 * -2 + 4x * -2) = 3x + -1(6 + -1x)
(10 + -8x) = 3x + -1(6 + -1x)
10 + -8x = 3x + (6 * -1 + -1x * -1)
10 + -8x = 3x + (-6 + 1x)

Reorder the terms:
10 + -8x = -6 + 3x + 1x

Combine like terms: 3x + 1x = 4x
10 + -8x = -6 + 4x

Solving
10 + -8x = -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.
10 + -8x + -4x = -6 + 4x + -4x

Combine like terms: -8x + -4x = -12x
10 + -12x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + -12x = -6 + 0
10 + -12x = -6

Add '-10' to each side of the equation.
10 + -10 + -12x = -6 + -10

Combine like terms: 10 + -10 = 0
0 + -12x = -6 + -10
-12x = -6 + -10

Combine like terms: -6 + -10 = -16
-12x = -16

Divide each side by '-12'.
x = 1.333333333

Simplifying
x = 1.333333333

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