-13x-4(x+1)=-2(3x+4)

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Solution for -13x-4(x+1)=-2(3x+4) equation:


Simplifying
-13x + -4(x + 1) = -2(3x + 4)

Reorder the terms:
-13x + -4(1 + x) = -2(3x + 4)
-13x + (1 * -4 + x * -4) = -2(3x + 4)
-13x + (-4 + -4x) = -2(3x + 4)

Reorder the terms:
-4 + -13x + -4x = -2(3x + 4)

Combine like terms: -13x + -4x = -17x
-4 + -17x = -2(3x + 4)

Reorder the terms:
-4 + -17x = -2(4 + 3x)
-4 + -17x = (4 * -2 + 3x * -2)
-4 + -17x = (-8 + -6x)

Solving
-4 + -17x = -8 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-4 + -17x + 6x = -8 + -6x + 6x

Combine like terms: -17x + 6x = -11x
-4 + -11x = -8 + -6x + 6x

Combine like terms: -6x + 6x = 0
-4 + -11x = -8 + 0
-4 + -11x = -8

Add '4' to each side of the equation.
-4 + 4 + -11x = -8 + 4

Combine like terms: -4 + 4 = 0
0 + -11x = -8 + 4
-11x = -8 + 4

Combine like terms: -8 + 4 = -4
-11x = -4

Divide each side by '-11'.
x = 0.3636363636

Simplifying
x = 0.3636363636

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