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

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


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

Reorder the terms:
3 + -6(5 + 2x) = 2(x + -4) + -5
3 + (5 * -6 + 2x * -6) = 2(x + -4) + -5
3 + (-30 + -12x) = 2(x + -4) + -5

Combine like terms: 3 + -30 = -27
-27 + -12x = 2(x + -4) + -5

Reorder the terms:
-27 + -12x = 2(-4 + x) + -5
-27 + -12x = (-4 * 2 + x * 2) + -5
-27 + -12x = (-8 + 2x) + -5

Reorder the terms:
-27 + -12x = -8 + -5 + 2x

Combine like terms: -8 + -5 = -13
-27 + -12x = -13 + 2x

Solving
-27 + -12x = -13 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-27 + -12x + -2x = -13 + 2x + -2x

Combine like terms: -12x + -2x = -14x
-27 + -14x = -13 + 2x + -2x

Combine like terms: 2x + -2x = 0
-27 + -14x = -13 + 0
-27 + -14x = -13

Add '27' to each side of the equation.
-27 + 27 + -14x = -13 + 27

Combine like terms: -27 + 27 = 0
0 + -14x = -13 + 27
-14x = -13 + 27

Combine like terms: -13 + 27 = 14
-14x = 14

Divide each side by '-14'.
x = -1

Simplifying
x = -1

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