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

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


Simplifying
2(5 + -1x) + -1(-2)(x + -3) = -1(3x + -4)
(5 * 2 + -1x * 2) + -1(-2)(x + -3) = -1(3x + -4)
(10 + -2x) + -1(-2)(x + -3) = -1(3x + -4)

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

Multiply -1 * -2
10 + -2x + 2(-3 + x) = -1(3x + -4)
10 + -2x + (-3 * 2 + x * 2) = -1(3x + -4)
10 + -2x + (-6 + 2x) = -1(3x + -4)

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

Combine like terms: 10 + -6 = 4
4 + -2x + 2x = -1(3x + -4)

Combine like terms: -2x + 2x = 0
4 + 0 = -1(3x + -4)
4 = -1(3x + -4)

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

Add '-4' to each side of the equation.
4 + -4 = 4 + -4 + -3x

Combine like terms: 4 + -4 = 0
0 = 4 + -4 + -3x

Combine like terms: 4 + -4 = 0
0 = 0 + -3x
0 = -3x

Solving
0 = -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.
0 + 3x = -3x + 3x
Remove the zero:
3x = -3x + 3x

Combine like terms: -3x + 3x = 0
3x = 0

Divide each side by '3'.
x = 0

Simplifying
x = 0

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