5-2(x+3)=-7+3(x-3)

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Solution for 5-2(x+3)=-7+3(x-3) equation:


Simplifying
5 + -2(x + 3) = -7 + 3(x + -3)

Reorder the terms:
5 + -2(3 + x) = -7 + 3(x + -3)
5 + (3 * -2 + x * -2) = -7 + 3(x + -3)
5 + (-6 + -2x) = -7 + 3(x + -3)

Combine like terms: 5 + -6 = -1
-1 + -2x = -7 + 3(x + -3)

Reorder the terms:
-1 + -2x = -7 + 3(-3 + x)
-1 + -2x = -7 + (-3 * 3 + x * 3)
-1 + -2x = -7 + (-9 + 3x)

Combine like terms: -7 + -9 = -16
-1 + -2x = -16 + 3x

Solving
-1 + -2x = -16 + 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.
-1 + -2x + -3x = -16 + 3x + -3x

Combine like terms: -2x + -3x = -5x
-1 + -5x = -16 + 3x + -3x

Combine like terms: 3x + -3x = 0
-1 + -5x = -16 + 0
-1 + -5x = -16

Add '1' to each side of the equation.
-1 + 1 + -5x = -16 + 1

Combine like terms: -1 + 1 = 0
0 + -5x = -16 + 1
-5x = -16 + 1

Combine like terms: -16 + 1 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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