6(x-4)-4(x-1)+3x=

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


Simplifying
6(x + -4) + -4(x + -1) + 3x = 0

Reorder the terms:
6(-4 + x) + -4(x + -1) + 3x = 0
(-4 * 6 + x * 6) + -4(x + -1) + 3x = 0
(-24 + 6x) + -4(x + -1) + 3x = 0

Reorder the terms:
-24 + 6x + -4(-1 + x) + 3x = 0
-24 + 6x + (-1 * -4 + x * -4) + 3x = 0
-24 + 6x + (4 + -4x) + 3x = 0

Reorder the terms:
-24 + 4 + 6x + -4x + 3x = 0

Combine like terms: -24 + 4 = -20
-20 + 6x + -4x + 3x = 0

Combine like terms: 6x + -4x = 2x
-20 + 2x + 3x = 0

Combine like terms: 2x + 3x = 5x
-20 + 5x = 0

Solving
-20 + 5x = 0

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 5x = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 5x = 0 + 20
5x = 0 + 20

Combine like terms: 0 + 20 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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