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

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


Simplifying
-3(5 + -1x) + 2 = 6(x + 4)
(5 * -3 + -1x * -3) + 2 = 6(x + 4)
(-15 + 3x) + 2 = 6(x + 4)

Reorder the terms:
-15 + 2 + 3x = 6(x + 4)

Combine like terms: -15 + 2 = -13
-13 + 3x = 6(x + 4)

Reorder the terms:
-13 + 3x = 6(4 + x)
-13 + 3x = (4 * 6 + x * 6)
-13 + 3x = (24 + 6x)

Solving
-13 + 3x = 24 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-13 + 3x + -6x = 24 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-13 + -3x = 24 + 6x + -6x

Combine like terms: 6x + -6x = 0
-13 + -3x = 24 + 0
-13 + -3x = 24

Add '13' to each side of the equation.
-13 + 13 + -3x = 24 + 13

Combine like terms: -13 + 13 = 0
0 + -3x = 24 + 13
-3x = 24 + 13

Combine like terms: 24 + 13 = 37
-3x = 37

Divide each side by '-3'.
x = -12.33333333

Simplifying
x = -12.33333333

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