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

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


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

Reorder the terms:
6(-6 + x) + -4(x + -3) + 3x = 0
(-6 * 6 + x * 6) + -4(x + -3) + 3x = 0
(-36 + 6x) + -4(x + -3) + 3x = 0

Reorder the terms:
-36 + 6x + -4(-3 + x) + 3x = 0
-36 + 6x + (-3 * -4 + x * -4) + 3x = 0
-36 + 6x + (12 + -4x) + 3x = 0

Reorder the terms:
-36 + 12 + 6x + -4x + 3x = 0

Combine like terms: -36 + 12 = -24
-24 + 6x + -4x + 3x = 0

Combine like terms: 6x + -4x = 2x
-24 + 2x + 3x = 0

Combine like terms: 2x + 3x = 5x
-24 + 5x = 0

Solving
-24 + 5x = 0

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 24 + 5x = 0 + 24

Combine like terms: -24 + 24 = 0
0 + 5x = 0 + 24
5x = 0 + 24

Combine like terms: 0 + 24 = 24
5x = 24

Divide each side by '5'.
x = 4.8

Simplifying
x = 4.8

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