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

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


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

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

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

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

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

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

Solving for variable 'x'.

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

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

Combine like terms: -6x + -11x = -17x
15 + -17x = -4 + 11x + -11x

Combine like terms: 11x + -11x = 0
15 + -17x = -4 + 0
15 + -17x = -4

Add '-15' to each side of the equation.
15 + -15 + -17x = -4 + -15

Combine like terms: 15 + -15 = 0
0 + -17x = -4 + -15
-17x = -4 + -15

Combine like terms: -4 + -15 = -19
-17x = -19

Divide each side by '-17'.
x = 1.117647059

Simplifying
x = 1.117647059

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