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

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


Simplifying
-3(6 + -1x) + 6 = 4 + -5(x + 2)
(6 * -3 + -1x * -3) + 6 = 4 + -5(x + 2)
(-18 + 3x) + 6 = 4 + -5(x + 2)

Reorder the terms:
-18 + 6 + 3x = 4 + -5(x + 2)

Combine like terms: -18 + 6 = -12
-12 + 3x = 4 + -5(x + 2)

Reorder the terms:
-12 + 3x = 4 + -5(2 + x)
-12 + 3x = 4 + (2 * -5 + x * -5)
-12 + 3x = 4 + (-10 + -5x)

Combine like terms: 4 + -10 = -6
-12 + 3x = -6 + -5x

Solving
-12 + 3x = -6 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-12 + 3x + 5x = -6 + -5x + 5x

Combine like terms: 3x + 5x = 8x
-12 + 8x = -6 + -5x + 5x

Combine like terms: -5x + 5x = 0
-12 + 8x = -6 + 0
-12 + 8x = -6

Add '12' to each side of the equation.
-12 + 12 + 8x = -6 + 12

Combine like terms: -12 + 12 = 0
0 + 8x = -6 + 12
8x = -6 + 12

Combine like terms: -6 + 12 = 6
8x = 6

Divide each side by '8'.
x = 0.75

Simplifying
x = 0.75

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