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 = -10x
15 + -10x = -11 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + -10x = -11 + 0
15 + -10x = -11

Add '-15' to each side of the equation.
15 + -15 + -10x = -11 + -15

Combine like terms: 15 + -15 = 0
0 + -10x = -11 + -15
-10x = -11 + -15

Combine like terms: -11 + -15 = -26
-10x = -26

Divide each side by '-10'.
x = 2.6

Simplifying
x = 2.6

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