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

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


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

Reorder the terms:
-5(-6 + x) + 6 = -3x + 4
(-6 * -5 + x * -5) + 6 = -3x + 4
(30 + -5x) + 6 = -3x + 4

Reorder the terms:
30 + 6 + -5x = -3x + 4

Combine like terms: 30 + 6 = 36
36 + -5x = -3x + 4

Reorder the terms:
36 + -5x = 4 + -3x

Solving
36 + -5x = 4 + -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.
36 + -5x + 3x = 4 + -3x + 3x

Combine like terms: -5x + 3x = -2x
36 + -2x = 4 + -3x + 3x

Combine like terms: -3x + 3x = 0
36 + -2x = 4 + 0
36 + -2x = 4

Add '-36' to each side of the equation.
36 + -36 + -2x = 4 + -36

Combine like terms: 36 + -36 = 0
0 + -2x = 4 + -36
-2x = 4 + -36

Combine like terms: 4 + -36 = -32
-2x = -32

Divide each side by '-2'.
x = 16

Simplifying
x = 16

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