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

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


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

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

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

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

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

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

Reorder the terms for easier multiplication:
-2 + 2x = -1 * 1(3 + x)

Multiply -1 * 1
-2 + 2x = -1(3 + x)
-2 + 2x = (3 * -1 + x * -1)
-2 + 2x = (-3 + -1x)

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

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-2 + 2x + x = -3 + -1x + x

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

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

Add '2' to each side of the equation.
-2 + 2 + 3x = -3 + 2

Combine like terms: -2 + 2 = 0
0 + 3x = -3 + 2
3x = -3 + 2

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

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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