6x-3(4x-5)=-4x-11

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Solution for 6x-3(4x-5)=-4x-11 equation:


Simplifying
6x + -3(4x + -5) = -4x + -11

Reorder the terms:
6x + -3(-5 + 4x) = -4x + -11
6x + (-5 * -3 + 4x * -3) = -4x + -11
6x + (15 + -12x) = -4x + -11

Reorder the terms:
15 + 6x + -12x = -4x + -11

Combine like terms: 6x + -12x = -6x
15 + -6x = -4x + -11

Reorder the terms:
15 + -6x = -11 + -4x

Solving
15 + -6x = -11 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
15 + -6x + 4x = -11 + -4x + 4x

Combine like terms: -6x + 4x = -2x
15 + -2x = -11 + -4x + 4x

Combine like terms: -4x + 4x = 0
15 + -2x = -11 + 0
15 + -2x = -11

Add '-15' to each side of the equation.
15 + -15 + -2x = -11 + -15

Combine like terms: 15 + -15 = 0
0 + -2x = -11 + -15
-2x = -11 + -15

Combine like terms: -11 + -15 = -26
-2x = -26

Divide each side by '-2'.
x = 13

Simplifying
x = 13

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