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

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


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

Reorder the terms:
6x + 5(-4 + x) = 3x + -4
6x + (-4 * 5 + x * 5) = 3x + -4
6x + (-20 + 5x) = 3x + -4

Reorder the terms:
-20 + 6x + 5x = 3x + -4

Combine like terms: 6x + 5x = 11x
-20 + 11x = 3x + -4

Reorder the terms:
-20 + 11x = -4 + 3x

Solving
-20 + 11x = -4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-20 + 11x + -3x = -4 + 3x + -3x

Combine like terms: 11x + -3x = 8x
-20 + 8x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
-20 + 8x = -4 + 0
-20 + 8x = -4

Add '20' to each side of the equation.
-20 + 20 + 8x = -4 + 20

Combine like terms: -20 + 20 = 0
0 + 8x = -4 + 20
8x = -4 + 20

Combine like terms: -4 + 20 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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