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

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


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

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

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

Reorder the terms:
-2 + -2x = 2(-3 + x)
-2 + -2x = (-3 * 2 + x * 2)
-2 + -2x = (-6 + 2x)

Solving
-2 + -2x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-2 + -2x + -2x = -6 + 2x + -2x

Combine like terms: -2x + -2x = -4x
-2 + -4x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2 + -4x = -6 + 0
-2 + -4x = -6

Add '2' to each side of the equation.
-2 + 2 + -4x = -6 + 2

Combine like terms: -2 + 2 = 0
0 + -4x = -6 + 2
-4x = -6 + 2

Combine like terms: -6 + 2 = -4
-4x = -4

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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