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

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


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

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

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

Reorder the terms:
8 + -2x = -4(-3 + x)
8 + -2x = (-3 * -4 + x * -4)
8 + -2x = (12 + -4x)

Solving
8 + -2x = 12 + -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.
8 + -2x + 4x = 12 + -4x + 4x

Combine like terms: -2x + 4x = 2x
8 + 2x = 12 + -4x + 4x

Combine like terms: -4x + 4x = 0
8 + 2x = 12 + 0
8 + 2x = 12

Add '-8' to each side of the equation.
8 + -8 + 2x = 12 + -8

Combine like terms: 8 + -8 = 0
0 + 2x = 12 + -8
2x = 12 + -8

Combine like terms: 12 + -8 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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