5-2(x-4)=3(x+6)

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Solution for 5-2(x-4)=3(x+6) equation:


Simplifying
5 + -2(x + -4) = 3(x + 6)

Reorder the terms:
5 + -2(-4 + x) = 3(x + 6)
5 + (-4 * -2 + x * -2) = 3(x + 6)
5 + (8 + -2x) = 3(x + 6)

Combine like terms: 5 + 8 = 13
13 + -2x = 3(x + 6)

Reorder the terms:
13 + -2x = 3(6 + x)
13 + -2x = (6 * 3 + x * 3)
13 + -2x = (18 + 3x)

Solving
13 + -2x = 18 + 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.
13 + -2x + -3x = 18 + 3x + -3x

Combine like terms: -2x + -3x = -5x
13 + -5x = 18 + 3x + -3x

Combine like terms: 3x + -3x = 0
13 + -5x = 18 + 0
13 + -5x = 18

Add '-13' to each side of the equation.
13 + -13 + -5x = 18 + -13

Combine like terms: 13 + -13 = 0
0 + -5x = 18 + -13
-5x = 18 + -13

Combine like terms: 18 + -13 = 5
-5x = 5

Divide each side by '-5'.
x = -1

Simplifying
x = -1

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