3(6x-2)-4(x+1)=-11x-19

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Solution for 3(6x-2)-4(x+1)=-11x-19 equation:


Simplifying
3(6x + -2) + -4(x + 1) = -11x + -19

Reorder the terms:
3(-2 + 6x) + -4(x + 1) = -11x + -19
(-2 * 3 + 6x * 3) + -4(x + 1) = -11x + -19
(-6 + 18x) + -4(x + 1) = -11x + -19

Reorder the terms:
-6 + 18x + -4(1 + x) = -11x + -19
-6 + 18x + (1 * -4 + x * -4) = -11x + -19
-6 + 18x + (-4 + -4x) = -11x + -19

Reorder the terms:
-6 + -4 + 18x + -4x = -11x + -19

Combine like terms: -6 + -4 = -10
-10 + 18x + -4x = -11x + -19

Combine like terms: 18x + -4x = 14x
-10 + 14x = -11x + -19

Reorder the terms:
-10 + 14x = -19 + -11x

Solving
-10 + 14x = -19 + -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.
-10 + 14x + 11x = -19 + -11x + 11x

Combine like terms: 14x + 11x = 25x
-10 + 25x = -19 + -11x + 11x

Combine like terms: -11x + 11x = 0
-10 + 25x = -19 + 0
-10 + 25x = -19

Add '10' to each side of the equation.
-10 + 10 + 25x = -19 + 10

Combine like terms: -10 + 10 = 0
0 + 25x = -19 + 10
25x = -19 + 10

Combine like terms: -19 + 10 = -9
25x = -9

Divide each side by '25'.
x = -0.36

Simplifying
x = -0.36

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