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

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


Simplifying
6 + 5(2 + -1x) = -3(x + 4)
6 + (2 * 5 + -1x * 5) = -3(x + 4)
6 + (10 + -5x) = -3(x + 4)

Combine like terms: 6 + 10 = 16
16 + -5x = -3(x + 4)

Reorder the terms:
16 + -5x = -3(4 + x)
16 + -5x = (4 * -3 + x * -3)
16 + -5x = (-12 + -3x)

Solving
16 + -5x = -12 + -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.
16 + -5x + 3x = -12 + -3x + 3x

Combine like terms: -5x + 3x = -2x
16 + -2x = -12 + -3x + 3x

Combine like terms: -3x + 3x = 0
16 + -2x = -12 + 0
16 + -2x = -12

Add '-16' to each side of the equation.
16 + -16 + -2x = -12 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = -12 + -16
-2x = -12 + -16

Combine like terms: -12 + -16 = -28
-2x = -28

Divide each side by '-2'.
x = 14

Simplifying
x = 14

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