3(2x-6)+4(x-3)=

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


Simplifying
3(2x + -6) + 4(x + -3) = 0

Reorder the terms:
3(-6 + 2x) + 4(x + -3) = 0
(-6 * 3 + 2x * 3) + 4(x + -3) = 0
(-18 + 6x) + 4(x + -3) = 0

Reorder the terms:
-18 + 6x + 4(-3 + x) = 0
-18 + 6x + (-3 * 4 + x * 4) = 0
-18 + 6x + (-12 + 4x) = 0

Reorder the terms:
-18 + -12 + 6x + 4x = 0

Combine like terms: -18 + -12 = -30
-30 + 6x + 4x = 0

Combine like terms: 6x + 4x = 10x
-30 + 10x = 0

Solving
-30 + 10x = 0

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + 10x = 0 + 30

Combine like terms: -30 + 30 = 0
0 + 10x = 0 + 30
10x = 0 + 30

Combine like terms: 0 + 30 = 30
10x = 30

Divide each side by '10'.
x = 3

Simplifying
x = 3

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